Question 744757
(3xsquared -2x -1)(xsquared + x + 5). Multiply and simplify.

The proper way to write is:

(3x^2 - 2x - 1)(x^2 + x + 5)

We then multiply using the FOIL Method:


3x^2 * x^2 = 3x^4

3x^2 * x = 3x^3

3x^2 * 5 = 15x^2

-2x * x^2 = -2x^3

-2x * x = -2x^2

-2x * 5 = -10x

-1 * x^2 = -1x^2

-1 * x = -1x

-1 * 5 = -5


We now have:


3x^4 + 3x^3 + 15x^2 - 2x^3 - 2x^2 - 10x - 1x^2 - 1x - 5



Combine like terms:

3x^3 - 2x^3 = x^3

15x^2 - 2x^2 - 1x^2 = 12x^2

-10x - 1x = -11x



Answer:

3x^4 + x^3 + 12x^2 - 11x - 5










Lennox Obuong
Algebra Tutor
Nairobi, Kenya
Email: obuong3@aol.com