Factor completely each polynomial, and indicate any that are not

Patricia Crane

Patricia Crane

Answered question

2021-12-12

Factor completely each polynomial, and indicate any that are not factorable using integers. 5x2+42x27

Answer & Explanation

Louis Page

Louis Page

Beginner2021-12-13Added 34 answers

Step 1
Consider the given polynomial 5x2+42x27
Factor the given polynomial as follows.
Note that, the product of the numbers 5 and -27 is -135.
Here, 45×3=135 and 45+(-3)=42.
Step 2
That implies,
5x2+42x27=5x23x+45x27
=x(5x-3)+9(5x-3)
=(x+9)(5x-3)
Thus, the factors of the polynomial 5x2+42x27 is (x+9)(5x-3)

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?