CBSE Class 10th Math 2 – Polynomials MCQs

The zeros of the quadratic polynomial x2−7x+12 are ____.

Correct! Wrong!

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Given, x2−7x+12 = x2 – 4x – 3x + 12 =(x – 3)(x – 4) So, the value of x2−7x+12 is zero, when x = 3 or x = 4. Hence, the zeros of x2−7x+12 are 3 and 4.

The degree of 2x4−3x3−3x2−5x+5 is ____.

Correct! Wrong!

If p(x) is a polynomial in x, the highest power of x in p(x) is called the degree of the polynomial p(x). Hence, the degree of 2x4−3x3−3x2−5x+5 is 4.

The zeroes of the quadratic polynomial x2 – 7x + 10 are ____.

Correct! Wrong!

Given polynomial is x2 – 7x + 10 x2 – 7x + 10 = x2 -5x – 2x +10 = x(x − 5) −2(x − 5) So, the value of the given polynomial is zero, when x − 2 = 0 or x − 5 = 0, i.e., when x = 2 or x = 5. Hence, the zeroes of x2 – 7x + 10 are 2 and 5.

The degree of the polynomial 5x3+3x2+2x+1is ____.

Correct! Wrong!

If p(x) is a polynomial in x, the highest power of x in p(x) is called the degree of the polynomial p(x). Hence, the degree of the polynomial 5x3+3x2+2x+1is 3.

The zeroes of the quadratic polynomial x2 – 121are ____.

Correct! Wrong!

Given quadratic polynomial is x2 – 121 x2 − 121 = (x)2 − (11)2 = (x + 11)(x – 11) [∵ a2 – b2 = (a + b)(a – b) So, the value of the given quadratic polynomial is zero, when x + 11 = 0 or x − 11 = 0, i.e., x = −11 or x = 11. Hence, the zeroes of x2 – 121are −11 and 11.

The zeros of the quadratic polynomial 3t2+ 9t are ____.

Correct! Wrong!

Given, 3t2 + 9t = 3t(t + 3) So, the value of 3t2 + 9t is zero, when 3t = 0 or t + 3 = 0, i.e., when t = 0 or t = -3 Hence, the zeroes of the given polynomial are 0 and −3.

The zeroes of the quadratic polynomial x2−4 are ____.

Correct! Wrong!

Given, polynomial is x2−4 =(x)2−(2)2 =(x+2)(x−2) So, the value of x2−4 is zero, when x = −2 or x = 2. Hence, the zeros of x2−4 are −2 and 2.

The degree of the polynomial ax3+bx2+cx+d is ____.

Correct! Wrong!

If p(x) is a polynomial in x, the highest power of x in p(x) is called the degree of the polynomial p(x). Hence, the degree of the polynomial ax3+bx2+cx+d is 3.

The degree of the polynomial x4+2x3+3x2+2x+20 is ____

Correct! Wrong!

If p(x) is a polynomial in x, the highest power of x in p(x) is called the degree of the polynomial p(x). Hence, the degree of the polynomial x4+2x3+3x2+2x+20 is 4

The degree of x2+2x+1is ____.

Correct! Wrong!

If p(x) is a polynomial in x, the highest power of x in p(x) is called the degree of the polynomial p(x). Hence, the degree of x2+2x+1is 2.

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