Factor each polynomial.

${x}^{2}-4x-21$

Annette Sabin
2021-12-17
Answered

Factor each polynomial.

${x}^{2}-4x-21$

You can still ask an expert for help

Shannon Hodgkinson

Answered 2021-12-18
Author has **34** answers

Step 1

Consider the polynomial:${x}^{2}-4x-21$

Assume that the above equation is in the form${x}^{2}+bx+c$ where b is sum of factors and c is product of factors

Find a pair of numbers whose product is and whose sum is .

In this case, whose product is and whose sum is -7,3

Step 2

Write the factored form using these integers: (x-7)(x+3)

Consider the polynomial:

Assume that the above equation is in the form

Find a pair of numbers whose product is and whose sum is .

In this case, whose product is and whose sum is -7,3

Step 2

Write the factored form using these integers: (x-7)(x+3)

William Appel

Answered 2021-12-19
Author has **44** answers

Step 1

Given polynomial is${x}^{2}-4x-21$ .

To factor the given polynomial.

Solution:

Factoring the given polynomial.

${x}^{2}-4x-21={x}^{2}-7x+3x-21$

=x(x-7)+3(x-7)

=(x-7)(x+3)

Therefore on factoring the given polynomial, we get

${x}^{2}-4x-21=(x-7)(x+3)$

Step 2

Hence, required factor is${x}^{2}-4x-21=(x-7)(x+3)$ .

Given polynomial is

To factor the given polynomial.

Solution:

Factoring the given polynomial.

=x(x-7)+3(x-7)

=(x-7)(x+3)

Therefore on factoring the given polynomial, we get

Step 2

Hence, required factor is

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