Question

Choose the correct simplification of (6x − 5)(2x2 − 3x − 6) Ive been using the foil methd but cant get it?

Answer 1

You can't use FOIL here, that's for quadratics, but what you can do is multiple 6x to all three of the second polynomial's terms and -5 to all three of the second polynomials terms.

Make sense?

Answer 2

You'll then combine like terms, so that means stuff like: 3x + 4x - 2x = 5x

Answer 3

multiply* not multiple lol

Answer 4

PS: Welcome to OpenStudy :-)

Answer 5

so its like im distrubuting ?

Answer 6

In a sense, yes

Answer 7

i.e.: 6x * 2x\(^2\) = ?

Answer 8

x^2 = x\(^2\) if you're not familiar with how to write exponents on computers :-)

Answer 9

x\(^1\) = x

so

(6 * x) * (2 * x * x) = 6x * 2x\(^2\) = 12x\(^{1+2}\) = 12x\(^3\)

Next, 6x * -3x = -18x\(^2\)

Answer 10

Aright thankyou !(:

Answer 11

that -18x^2 adds with -10x^2 (from -5 * 2x^2) to make -28x^2 here for instance:
\(12 x^3-28 x^2-21 x+30\)

Answer 12

Thankyou , in the course im taking they ony realy covered foil

Answer 13

FOIL does the same thing actually, you just only have 2 pairs of terms per polynomial, so it's just a simple mnemonic just to help you memorize so you don't forget a term to multiply, nothing more, nothing less. :-)

Answer 14

In this case you have a 2-term polynomial (aka. a binomial) and a 3-term polynomial (aka. a trinomial, or in this case specifically a quadratic)