Question

Which expression is the factorization of x2 10x 21?

Answer 1

The factorization of the given expression $\rm x^2+10x+21$ is (x+3)(x+7) the option first is correct.

It is given that the expression $\rm x^2+10x+21$

It is required to find which expression is the factorization of the given expression, the options are:

a) (x + 3)(x + 7)

b) (x + 4)(x + 6)

c) (x + 6)(x + 15)

d) (x + 7)(x + 14)

What is polynomial?

Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.

We have an expression:

$\rm x^2+10x+21$

$\rm x^2+7x+3x+21$  

Breaking 10x into 7x and 3x because the multiplication of 7x and 3x is $\rm 21x^2$ and the addition is 10x.

$\rm x^2+7x+3x+21\\\\\rm x(x+7)+3(x+7)\\\\\rm (x+7)(x+3)$or

$\rm (x+3)(x+7)$

Thus, the factorization of the given expression $\rm x^2+10x+21$ is (x+3)(x+7) the option first is correct.

Learn more about Polynomial here:

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