what is the polynomial of(2x+5)(3x+3)

Mathematics · High School · Tue Nov 03 2020

Answered on

Given the numerical expression:

(2x+5)(3x+3)

Determine the polynomial.

Solution:

We can solve the given numerical expression, by using the FOIL Method.

In using the FOIL method in solving for the given numerical expression. Multiply the first term of the first equation, to the first and last term of the second equation. Then, multiply the last term of the first equation, to the first and last term of the second equation.

To clearly see how it works, here's a step by step solution.

= (2x)(3x)
=6x^2
First term of the first equation multiplied to the first term of the second equation.

=(2x)(3)
= 6x
First term of the first equation multiplied to the last term of the second equation.

=(5)(3x)
=15x
Last term of the first equation multiplied to the first term of the second equation.

=(5)(3)
= 15
Last term of the first equation multiplied to the fast term of the second equation.
 

=6x^2 + 6x + 15 x + 15

= 6x^2 + 21x + 15

Final answer: 6x^2 + 21x + 15