Polynomials

CBSE Class 10 Mathematics · every board question from this chapter, 2025–2025 · 10 of them repeated across years

• The quadratic equation whose sum and product of roots are 'a' and ' 1/, respectively is:2025
• If α and β are the zeroes of polynomial 3 x^2+6 x+k such that α+β+α β=-2/3, then the value of k is:2025asked 2×
• The quadratic equation whose roots are 7 and 1/7 is:2025asked 2×
• If α and β are the zeroes of the polynomial p(x)=x^2-a x-b, then the value of (α+β+α β) is equal to:2025asked 2×
• If the zeroes of the polynomial a x^2+b x+(2 a)/ are reciprocal of each other, then the value of b is2025asked 3×
• If one zero of the polynomial q(x)=(p^2+4) x^2+65 x+4 p is reciprocal of the other, then the value of ' p ' is:2025
• Two polynomials are shown in the graph below. The number of distinct zeroes of both the polynomials is:2025asked 3×
• If - 4 is a zero of the polynomial p(x)=x^2-x-(2+2 k), then the value of k is:2025asked 2×
• Zeroes of the polynomial p(x)=x^2-3 √2 x+4 are:2025asked 2×
• Which of the following statements is true for a polynomial p(x) of degree 3?2025asked 3×
• Find a quadratic polynomial whose zeroes are 2 and -7/5.2025
• If the sum of the zeroes of the polynomial p(x)=(p+1) x^2+(2 p+3) x+(3 p+4) is -1, then find the value of 'p'. OR If α and β are…2025
• If the zeroes of the polynomial x^2+ax+b are in the ratio 3: 4, then prove that 12 a^2=49 b.2025
• If p and q are zeroes of the polynomial p(y)=21 y^2-y-2, then find the value of (1-p).(1-q).2025asked 2×
• Find the zeroes of the polynomial p(x)=x^2+4/3 x-4/3.2025asked 2×
• α and β are zeroes of a quadratic polynomial x^2-a x-b. Obtain a quadratic polynomial whose zeroes are 3 α+1 and 3 β+1.2025
• Find the zeroes of the polynomial p(x)=6 x^2-5 x-1. Hence, obtain a polynomial each of whose zeroes is three times the zeroes of…2025
• Obtain the zeroes of the polynomial 7 x^2+18 x-9. Hence, write a polynomial each of whose zeroes is twice the zeroes of given…2025
• Find the zeroes of the polynomial p(x)=3 x^2-4 x-4. Hence, write a polynomial whose each of the zeroes is 2 more than zeroes of…2025
• If α and β are the zeroes of the polynomial a x^2-x+c. Obtain a polynomial whose zeroes are α-3 and β-3.2025
• Obtain the zeroes of the polynomial p(x)=2 x^2-5 x-3. Hence, obtain a polynomial each of whose zeroes is one less than each of…2025
• Find the zeroes of the polynomial q(x)=8 x^2-2 x-3. Hence, find a polynomial whose zeroes are 2 less than the zeroes of q(x).2025
• α and β are zeroes of a quadratic polynomial p x^2+q x+1. Form a quadratic polynomial whose zeroes are 2/(α) and 2/(β).2025
• Find the zeroes of the polynomial r(x)=4 x^2+3 x-1. Hence, write a polynomial whose zeroes are reciprocal of the zeroes of…2025

Answers come from CBSE’s own marking schemes. How we source them.