Question

Which of the following binomials below is a factor of this trinomial x(x)-13x+36​

Answer 1

(

x

+

4

)

(

x

+

9

)

=

0

Your answer would be x=-4 and x=-9.

Explanation::

(

x

+

4

)

(

x

+

9

)

x

times

x

=

x

2

x

(

9

)

+

x

(

4

)

=

13

x

4

times

9

=

36

=

x

2

+

13

x

+

36

Answer 2

So the factors of the given are:

(x-4) and (x-9).

The factored form of the given expression is (x-4)(x-9).

Explanation:

To factore the given quadratic with leading coefficient one, you must find two numbers that add to be and multiply to be c.

a=1

b=-13

c=36

So we need two numbers that multiply to be 36 and add to be -13.

These numbers are -4 and -9 since

(-4)(-9)=36 and -4+-9=-13.

So the factors of the given are:

(x-4) and (x-9).

The factored form of the given expression is (x-4)(x-9).