Polynomials

What you'll learn

What degree means, what 'zeroes' are, and the sum/product-of-zeroes shortcuts for quadratics.

This chapter has

Polynomials — solved practice questions

6 Class 10 Mathematics questions with step-by-step solutions. Attempt each, then reveal the answer.

1. Q1easy

   What is the degree of the polynomial 3x² + 2x + 1?

   • A1
   • B2
   • C3
   • D0
   Show answer & solution

   Correct answer: (B) 2

   The degree is the highest power of x present, which is 2.

2. Q2easy

   A polynomial of degree 2 is called a:

   • Alinear polynomial
   • Bquadratic polynomial
   • Ccubic polynomial
   • Dconstant
   Show answer & solution

   Correct answer: (B) quadratic polynomial

   Degree 1 = linear, degree 2 = quadratic, degree 3 = cubic.

3. Q3medium

   What are the zeroes of the polynomial x² − 4?

   • A2 and −2
   • B4 and −4
   • C0 and 4
   • D2 and 4
   Show answer & solution

   Correct answer: (A) 2 and −2

   x² − 4 = 0 → x² = 4 → x = +2 or −2.

4. Q4medium

   For a quadratic polynomial ax² + bx + c, the sum of the zeroes equals:

   • Ab/a
   • B−b/a
   • Cc/a
   • D−c/a
   Show answer & solution

   Correct answer: (B) −b/a

   Sum of zeroes = −b/a.

5. Q5medium

   For ax² + bx + c, the product of the zeroes equals:

   • A−b/a
   • Bb/a
   • Cc/a
   • D−c/a
   Show answer & solution

   Correct answer: (C) c/a

   Product of zeroes = c/a (constant term ÷ leading coefficient).

6. Q6easy

   How many zeroes does a linear polynomial have?

   • A0
   • B1
   • C2
   • Dinfinitely many
   Show answer & solution

   Correct answer: (B) 1

   A linear polynomial (degree 1) has exactly one zero.

Want the full set? Practise all 6 Polynomials questions →