NCERT Book Class 10 Maths Polynomials Questions

• Geometrical meaning of zeroes of a polynomial: The zeroes of a polynomial p(x) are precisely the x-coordinates of the points where the graph of y = p(x) intersects the x-axis.

• Relation between the zeroes and coefficients of a polynomial: If α and β are the zeroes of a quadratic polynomial ax2 + bx + c, then α + β=  – b/a, αβ = , αβ c/a
= .
• If α, β and γ are the zeroes of a cubic polynomial ax³ + bx² + cx + d, then α+β+γ – b/a = , αβ + βγ + γα c/a = and αβγ= –d/a

• The division algorithm states that given any polynomial p(x) and any non-zero polynomial g(x), there are polynomials q(x) and r(x) such that p(x) = g(x) q(x) + r(x), where r(x) = 0 or degree r(x) < degree g(x).

(B) Multiple Choice Questions

Choose the correct answer from the given four options:

Sample Question 1: If one zero of the quadratic polynomial x2 + 3x + k is 2, then the value of k is (A) 10 (B) –10 (C) 5 (D) –5

Solution : Answer (B)

Please refer to attached file for NCERT Class 10 Maths Polynomials Questions