Question

Multiply (x − 4)(x2 + 6x − 5).

x3 + 2x2 − 29x + 20

x3 − 5x2 − 14x + 20

x3 + 6x2 − 13x + 20

x3 + 10x2 − 19x + 20

Answer 1

Multiply each term in the first polynomial by each term in the second polynomial.
(x⋅x2+x⋅6x+x⋅−5−4⋅x2−4⋅6x−4⋅−5)

Multiply x by x2 to get x3.

(x3+x⋅6x+x⋅−5−4⋅x2−4⋅6x−4⋅−5)


Multiply x by 6x to get 6x2.

(x3+6x2+x⋅−5−4⋅x2−4⋅6x−4⋅−5)


Multiply x by −5 to get −5x.

(x3+6x2−5x−4⋅x2−4⋅6x−4⋅−5)


Multiply −4 by x2 to get −4x2.

(x3+6x2−5x−4x2−4⋅6x−4⋅−5)


Multiply −4 by 6x to get −24x.

(x3+6x2−5x−4x2−24x−4⋅−5)


Multiply −4 by −5 to get 20.

(x3+6x2−5x−4x2−24x+20)


Since 6x2 and −4x2 are like terms, add −4x2 to 6x2 to get 2x2.

(x3+2x2−5x−24x+20)


Since −5x and −24x are like terms, subtract 24x from −5x to get −29x.

(x3+2x2−29x+20)
(x3+2x2−29x+20)
Remove the parentheses around the expression x3+2x2−29x+20.

Answer 2

SO MUCH TYPING

Answer 3

You can use this visual tool to help you multiply