Uploaded April 2019 | Updated September 2026, 2 weeks ago
If one zero of the polynomial 4x^2 - 8kx - 9 is the negative of the other, find the value of k. If one of the zeroes of the polynomial is equal in magnitude but opposite in sign then find the value of k. . Polynomials class 10.
#polynomialsclass10byavisir
#polynomialsclass10
#polynomialsclass10importantquestions
#polynomialsclass10avijainclasses
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)
If one zero of the polynomial 4x^2 - 8kx - 9 is the negative of the other, find the value of k. If one of the zeroes of the polynomial is equal in magnitude but opposite in sign then find the value of k. . Polynomials class 10.
#polynomialsclass10byavisir
#polynomialsclass10
#polynomialsclass10importantquestions
#polynomialsclass10avijainclasses
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)
