10th Class Mathematics Polynomials Question Bank MCQs - Polynomials

The zeroes of the quadratic polynomial \[\left( {{x}^{2}}+5x+6 \right)\]are

A) -2 and -3

B) 3 and 4

C) 3 and 2

D) 2 and 1

Correct Answer: A

Solution :

Given,

Quadratic polynomial \[\left( {{x}^{2}}+5x+6 \right)\]

We have to find the zeroes of \[{{x}^{2}}+5x+6\]

By factorization,

\[{{x}^{2}}+3x+2x+6=0\]

\[x\left( x+3 \right)+2\left( x+3 \right)=0\]

\[\left( x+3 \right)\left( x+2 \right)=0\]

\[x=-3,\,x=-2\]

Hence, zeroes \[x=-3,\,x=-2\]