physicscatalyst.com logo





Class 10 Maths Extra Questions for Polynomials





Given below are the Class 10 Maths Extra questions for Real Numbers
a) Finding Zero's Questions
b) Short Answers Questions
c) Word Problems

Question 1) Find a quadratic polynomial whose zeroes are 5 +  √2 and 5 -√2
Question 2) If  a and b are zeroes of quadratic polynomial kx2 + 4x + 4, find the value of k such that (a+b )2 - 2ab  = 24.
Question 3) If one zero of 3x2 – 4x + p is reciprocal to the other, then find the value of p
Question 4) If  p and q are the zeroes of p(x) = kx2 – 3x + 2k and p+q=pq  then find the value of k.
Question 5) If  a and b are zeroes of x2 – 6x + k. What is the value of k, if 3a+2b  = 20?
Question 6) If one zero of the quadratic polynomial x2 + 3x + k is 2, then find the value of k.
Question 7) Find the zeroes of the quadratic polynomial x2 + 8x + 16 and verify the relationship between the zeroes and the coefficients.
Question 8) Find the value of a and b, if they are the zeroes of polynomial x2 + ax + b.
Question 9) If m and n are the zeroes of the polynomial 3x2 + 11x – 4, find the value of (m/n)  +(n/m)
Question 10) Show that 2, -1 and 1/2  are the zeroes of the cubic polynomial
p(x) = 2x3 – 3x2 – 3x + 2
and then verify that the sum of the zeroes =-(Coeff of x2/Coeff of x3)
Question 11) Find the zeroes of the polynomial f(x) = 4√3  x2 + 5x - 2√3  , and verify the relationship between the zeroes and its coefficients.
Question 12) If  p and q are the zeroes of the polynomial f(x) = x2 – 5x + k such that p-q  = 1, find the value of k.
Question 13) If p and q are the zeroes of the quadratic polynomial f(x) = kx2 + 4x + 4 such that  p2 + q2  = 24, find the values of k.


Question 14) If  a and b are the zeroes of the quadratic polynomial f(t) = x2 – 4x + 3, find the value of a4 b3 + a3 b4.
Question 15) If a and b  are the zeroes of the quadratic polynomial f(x) = x2 – px + q, prove that

Question 16) If two zeroes of the polynomial f(x) = x3 – 4x2 – 3x + 12 are √3 and -√3  then find its third zero.
Question 17) If  l and m are zeroes of the polynomial p(x) = 2x2 – 5x + 7, find a polynomial whose zeroes are 2l + 3 and 2m  + 3.\
Question 18) If p ,q and r are zeroes of polynomial 6x3 + 3x2 – 5x + 1, then find the value of p-1 + q-1 + r-1.
Question 19)  If the zeroes of the polynomial f(x) = ax3 + 3bx2 + 3cx + d are in A. P., prove that 2b3 – 3abc + a2d = 0.
Question 20) Obtain all zeroes of the polynomial f(x) = 2x4 – 2x3 – 7x2 + 3x + 6, if its two zeros are √3 and -√3






Class 10 Maths Class 10 Science