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Factorization of polynomials with square roots in the middle term. Find the zeroes of y^2 + 4√3 y – 15. Polynomials class 10.
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Check out the similar the following question as well:
Find the zeroes of 4x^2 + 5√2 x – 3
   • Factoring polynomials with square roots in...  

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.
   • If alpha and beta are the zeroes of the po...  

2) If α and β are the zeroes of the polynomial x^2+7x+7, find the value of 1/α + 1/β - 2αβ.
   • If alpha and beta are the zeroes of the po...  

3) if α and β are the zeroes of polynomial 2x^2 - 7x + 3, then find the value of α^2 + β^2.
   • if α(alpha) and β(beta) are the zeroes of ...  

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.
   • If alpha, beta and gamma are the zeros of ...  

5) If one zero of the polynomial (a^2+9)x^2 + 13x + 6a is reciprocal of the other, find the value of a.
   • If one zero of the polynomial (a^2+9)x^2 +...  

6) If one of the zeroes of the polynomial is equal in magnitude, but opposite in sign, then find the value of k.
   • If one zero of the polynomial 4x^2 - 8kx -...  

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.
   • If one zero of the polynomial 3 x square =...  

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.
   • If a (alpha) and b (beta) are the zeroes o...  

9) If the squared difference of the zeroes of f(x)=x^2+px+45 is 144, find p
   • If the squared difference of the zeroes of...  

10) If α and β are the zeroes of x^2 – 6x + k, such that α - β = 1, then find the value of k.
   • If alpha and beta are the zeroes of x^2 - ...  
11) If α and β are the zeroes of x^2 – 6x + a, find the value of a, if 3α + 2β = 20
   • If alpha and beta are the zeroes of x^2 – ...  

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.
   • If alpha and beta are the zeros, then find...  

13) Find the zeroes of y^2 + 4√3 y – 15
   • Factorization of polynomials with square r...  

14) Find the zeroes of 4x^2 + 5√2 x – 3
   • Factoring polynomials with square roots in...  

15) If the zeroes of polynomial x^3-ax^2+bx-c are in AP, then show that 2a^3-9ab+27c=0
   • If the zeroes of polynomial x^3-ax^2+bx-c ...  

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.
   • Find the zeroes of the polynomial x^3 - 13...  

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 ?
   • For which values of a and b, are the zeroe...  

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.
   • If alpha, beta and gamma are the zeroes of...  

19) Is polynomial y^4 + y^2 + 5 have zeroes or not ?
   • Is polynomial y^4 + y^2 + 5 have zeroes or...  

20) Use factor theorem to prove that x+a is a factor of x^n + a^n if n is an odd positive integer.
   • Use factor theorem to prove that x+a is a ...  

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
   • If (x+a) is a factor of two polynomials x^...  

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
   • If 1 and -1 are the zeroes of the polynomi...  

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