# CBSE Class 10th Math 2 – Polynomials MCQs

#### The degree of 2x^{4}−3x^{3}−3x^{2}−5x+5 is ____.

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 2x^{4}−3x^{3}−3x^{2}−5x+5 is 4.

#### The zeroes of the quadratic polynomial x^{2} – 7x + 10 are ____.

Given polynomial is x^{2} – 7x + 10 x^{2} – 7x + 10 = x^{2} -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 x^{2} – 7x + 10 are 2 and 5.

#### The degree of the polynomial 5x^{3}+3x^{2}+2x+1is ____.

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 5x^{3}+3x^{2}+2x+1is 3.

#### The zeroes of the quadratic polynomial x^{2} – 121are ____.

Given quadratic polynomial is x^{2} – 121 x^{2 }− 121 = (x)^{2} − (11)^{2} = (x + 11)(x – 11) [∵ a^{2} – b^{2} = (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 x^{2} – 121are −11 and 11.

#### The zeros of the quadratic polynomial 3t^{2}+ 9t are ____.

Given, 3t^{2} + 9t = 3t(t + 3) So, the value of 3t^{2} + 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 x^{2}−4 are ____.

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

#### The degree of the polynomial ax^{3}+bx^{2}+cx+d is ____.

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 ax^{3}+bx^{2}+cx+d is 3.

#### The degree of the polynomial x^{4}+2x^{3}+3x^{2}+2x+20 is ____

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 x^{4}+2x^{3}+3x^{2}+2x+20 is 4

#### The degree of x^{2}+2x+1is ____.

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 x^{2}+2x+1is 2.