Uploaded April 2019 | Updated September 2026, 2 weeks ago
Factoring polynomials with square roots in the middle term. Find the zeroes of 4x^2+5√2x–3.polynomials class 10 important questions.
#polynomialsclass10byavisir
#polynomialsclass10
#polynomialsclass10importantquestions #polynomialsclass10avijainclasses #polynomialsavijainclasses
check out the similar the following question as well:
Find the zeroes of y^2 + 4√3 y – 15
youtu.be/DkamaIr_YoY
Other important questions for class 10 polynomials are given below. Students are requested to view all the questions in the order in which I am writing them. Once you solve all of them, you can b sure of attempting almost any question that comes in your exam from this chapter.
1) If α and β are the zeroes of the polynomial x^2+5x+5, find the value of α^-1 + β^-1.
youtu.be/cm8xn2TpmPY
2) If α and β are the zeroes of the polynomial x^2+7x+7, find the value of 1/α + 1/β - 2αβ.
youtu.be/JkDJ-0gd7Ww
3) if α and β are the zeroes of polynomial 2x^2 - 7x + 3, then find the value of α^2 + β^2.
youtu.be/XUwUVUmhOQg
4) If α, β and γ are the zeroes of the polynomial p(x) = ax^3 + bx^2 + cx + d, find the value of 1/α + 1/β + 1/γ.
youtu.be/MUS3qcBDsF8
5) If one zero of the polynomial (a^2+9)x^2 + 13x + 6a is reciprocal of the other, find the value of a.
youtu.be/3pk7V47Z_IM
6) If one of the zeroes of the polynomial is equal in magnitude, but opposite in sign, then find the value of k.
youtu.be/S6qbUFYd1Ys
7) If one zero of the polynomial 3x^2 = 8x + 2k + 1 is seven times the other, then find the zeroes and the value of k.
youtu.be/N_7AlG-mTGQ
8) If α and β are the zeroes of f(x)= x^2-6x+k, then find the value of k if α ^2 + β ^2=40.
youtu.be/Z456B1djrYY
9) If the squared difference of the zeroes of f(x)=x^2+px+45 is 144, find p
youtu.be/bkoN2gOvW2s
10) If α and β are the zeroes of x^2 – 6x + k, such that α - β = 1, then find the value of k.
youtu.be/NJmDE66YBxE
11) If α and β are the zeroes of x^2 – 6x + a, find the value of a, if 3α + 2β = 20
youtu.be/Flrzf7OMTrc
12) If α and β are the zeroes of the polynomial x^2 - 2x - 15, then find the polynomial whose zeroes are 2α and 2β.
youtu.be/0bPodjroGGI
13) Find the zeroes of y^2 + 4√3 y – 15
youtu.be/DkamaIr_YoY
14) Find the zeroes of 4x^2 + 5√2 x – 3
youtu.be/uAa_DEpsws0
15) If the zeroes of polynomial x^3-ax^2+bx-c are in AP, then show that 2a^3-9ab+27c=0
youtu.be/wyBzDPRkBgg
16) Find the zeroes of the polynomial x^3 - 13x^2 + 52x - 60 if it is given that the product of its two zeroes is 10.
youtu.be/kyK6wE02tl8
17) For which values of a and b, are the zeroes of q(x) = x3 + 2x2 + a also the zeroes of the polynomial p(x) = x5-x4-4x3+3x2+3x+b ?
youtu.be/HSzJm8x5AcU
18) If α, β and γ are the zeroes of polynomial kx^3 – 5x + 9 and α^3 + β^3 + γ^3 = 27, then find the value of k.
youtu.be/cbdmlZiMlqw
19) Is polynomial y^4 + y^2 + 5 have zeroes or not ?
youtu.be/k7daGizfDvU
20) Use factor theorem to prove that x+a is a factor of x^n + a^n if n is an odd positive integer.
youtu.be/z8HxHpyVCz8
21) If (x+a) is a factor of two polynomials x^2+px+q and x^2+mx+n, then prove that : a=n- q/m-p
youtu.be/-9GmvZRM67E
22) If 1 and -1 are the zeroes of the polynomial Lx^4 + Mx^3 + Nx^2 + Rx + P, then show that L + N + P = M + R = 0
youtu.be/75R8z4OVXsA
23)
Factoring polynomials with square roots in the middle term. Find the zeroes of 4x^2+5√2x–3.polynomials class 10 important questions.
#polynomialsclass10byavisir
#polynomialsclass10
#polynomialsclass10importantquestions #polynomialsclass10avijainclasses #polynomialsavijainclasses
check out the similar the following question as well:
Find the zeroes of y^2 + 4√3 y – 15
youtu.be/DkamaIr_YoY
Other important questions for class 10 polynomials are given below. Students are requested to view all the questions in the order in which I am writing them. Once you solve all of them, you can b sure of attempting almost any question that comes in your exam from this chapter.
1) If α and β are the zeroes of the polynomial x^2+5x+5, find the value of α^-1 + β^-1.
youtu.be/cm8xn2TpmPY
2) If α and β are the zeroes of the polynomial x^2+7x+7, find the value of 1/α + 1/β - 2αβ.
youtu.be/JkDJ-0gd7Ww
3) if α and β are the zeroes of polynomial 2x^2 - 7x + 3, then find the value of α^2 + β^2.
youtu.be/XUwUVUmhOQg
4) If α, β and γ are the zeroes of the polynomial p(x) = ax^3 + bx^2 + cx + d, find the value of 1/α + 1/β + 1/γ.
youtu.be/MUS3qcBDsF8
5) If one zero of the polynomial (a^2+9)x^2 + 13x + 6a is reciprocal of the other, find the value of a.
youtu.be/3pk7V47Z_IM
6) If one of the zeroes of the polynomial is equal in magnitude, but opposite in sign, then find the value of k.
youtu.be/S6qbUFYd1Ys
7) If one zero of the polynomial 3x^2 = 8x + 2k + 1 is seven times the other, then find the zeroes and the value of k.
youtu.be/N_7AlG-mTGQ
8) If α and β are the zeroes of f(x)= x^2-6x+k, then find the value of k if α ^2 + β ^2=40.
youtu.be/Z456B1djrYY
9) If the squared difference of the zeroes of f(x)=x^2+px+45 is 144, find p
youtu.be/bkoN2gOvW2s
10) If α and β are the zeroes of x^2 – 6x + k, such that α - β = 1, then find the value of k.
youtu.be/NJmDE66YBxE
11) If α and β are the zeroes of x^2 – 6x + a, find the value of a, if 3α + 2β = 20
youtu.be/Flrzf7OMTrc
12) If α and β are the zeroes of the polynomial x^2 - 2x - 15, then find the polynomial whose zeroes are 2α and 2β.
youtu.be/0bPodjroGGI
13) Find the zeroes of y^2 + 4√3 y – 15
youtu.be/DkamaIr_YoY
14) Find the zeroes of 4x^2 + 5√2 x – 3
youtu.be/uAa_DEpsws0
15) If the zeroes of polynomial x^3-ax^2+bx-c are in AP, then show that 2a^3-9ab+27c=0
youtu.be/wyBzDPRkBgg
16) Find the zeroes of the polynomial x^3 - 13x^2 + 52x - 60 if it is given that the product of its two zeroes is 10.
youtu.be/kyK6wE02tl8
17) For which values of a and b, are the zeroes of q(x) = x3 + 2x2 + a also the zeroes of the polynomial p(x) = x5-x4-4x3+3x2+3x+b ?
youtu.be/HSzJm8x5AcU
18) If α, β and γ are the zeroes of polynomial kx^3 – 5x + 9 and α^3 + β^3 + γ^3 = 27, then find the value of k.
youtu.be/cbdmlZiMlqw
19) Is polynomial y^4 + y^2 + 5 have zeroes or not ?
youtu.be/k7daGizfDvU
20) Use factor theorem to prove that x+a is a factor of x^n + a^n if n is an odd positive integer.
youtu.be/z8HxHpyVCz8
21) If (x+a) is a factor of two polynomials x^2+px+q and x^2+mx+n, then prove that : a=n- q/m-p
youtu.be/-9GmvZRM67E
22) If 1 and -1 are the zeroes of the polynomial Lx^4 + Mx^3 + Nx^2 + Rx + P, then show that L + N + P = M + R = 0
youtu.be/75R8z4OVXsA
23)
![Solve for x | x^2+[a/(a+b)+(a+b)/a]x +1=0. Solve for x : x2+(a/a+b+a+b/a)x+1=0. Quadratic equation.](https://i.ytimg.com/vi/xFT2UofBnuA/mqdefault.jpg "Solve for x | x^2+[a/(a+b)+(a+b)/a]x +1=0. Solve for x : x2+(a/a+b+a+b/a)x+1=0. Quadratic equation.
Solve for x : x^2+[a/(a+b)+(a+b)/a]x +1=0. Solve for x : x2+(a/a+b+a+b/a)x+1=0. Quadratic equation. Quadratic equation important questions for class 10.
#quadraticequation #quadraticequationclass10 #quadraticequationclass10avijainclasses #quadraticequationbyavisir
The other important questions from this chapter are as follows:
1) Solve x^2-2ax+(a^2-b^2). Solve x^2+5x-(a^2+a-6). Solve 4x^2-4ax+(a^2-b^2). Solve 36x^2-12ax+(a^2-b^2). Quadratic equation important questions for class 10.
https://youtu.be/Khh6M1KLcsM
2) Solve 9x^2 - 9(a+b)x + (2a^2+5ab+2b^2).
https://youtu.be/2jgUJvjGhpg
3) Solve for x : 1/a+b+x =1/a+1/b+1/x. Quadratic equation important questions for class 10.
https://youtu.be/b2PC45UqSdU
4) Solve: x^2 +[a/(a+b) + (a+b)/a]x + 1 =0. Quadratic equation important questions for class 10.
https://youtu.be/xFT2UofBnuA
5) Solve for x :9^(x+2) - 6.3^(x+1) + 1 = 0. Quadratic equations class 10 maths important questions.
https://youtu.be/yQXwldUPc0c
6) Solve root (2x+9)+x=13. Solve root (6x+7)-(2x-7)=0. Quadratic equation class 10.
https://youtu.be/tEh761BYZ2Y
7)")
