Question

What is the product of the polynomials below?
(7x2+2x+4)(2x+5)

Answer 1

14x3+ 39x2 +8x +20

Explanation:

Use the distributive property and/or the FOIL (front, outer, inner, last) method.

First:

Multiply (7x2)(2x)

=14x3

Then (7x) (5)

=35x2

Second:

Multiply (2x)(2x)

=4x2

Then (2x)(5)

=10

Third:

Multiply 4(2x)

=8x

Then (4)(5)

=20

You should get:

14x3 +35x2 +4x2 +10 +8x +10

Add all common numbers.

You should get:

14x3+ 39x2 +8x +20

Answer 2

This is a simple multiplication problem.

Here is my steps:

(14x^3 + 35x^2 + 4x + 10x + 8x + 20)

Combine like terms:

(14x^3 + 35x^2 + 22x + 20)

And that is your answer^^