Answer:its long b ut i hope it helps:)
Step-by-step explanation:
EVALUATE
(x−1)(x+2)(x+4)
Tick mark Image
SOLUTION STEPS
P(x)=(x+4)(x+2)(x−1)
Apply the distributive property by multiplying each term of x+4 by each term of x+2.
(x
2
+2x+4x+8)(x−1)
Combine 2x and 4x to get 6x.
(x
2
+6x+8)(x−1)
Apply the distributive property by multiplying each term of x
2
+6x+8 by each term of x−1.
x
3
−x
2
+6x
2
−6x+8x−8
Combine −x
2
and 6x
2
to get 5x
2
.
x
3
+5x
2
−6x+8x−8
Combine −6x and 8x to get 2x.
x
3
+5x
2
+2x−8
EXPAND
x
3
+5x
2
+2x−8
Tick mark Image
EVALUATE
(x−1)(x+2)(x+4)
Tick mark Image
SOLUTION STEPS
P(x)=(x+4)(x+2)(x−1)
Apply the distributive property by multiplying each term of x+4 by each term of x+2.
(x
2
+2x+4x+8)(x−1)
Combine 2x and 4x to get 6x.
(x
2
+6x+8)(x−1)
Apply the distributive property by multiplying each term of x
2
+6x+8 by each term of x−1.
x
3
−x
2
+6x
2
−6x+8x−8
Combine −x
2
and 6x
2
to get 5x
2
.
x
3
+5x
2
−6x+8x−8
Combine −6x and 8x to get 2x.
x
3
+5x
2
+2x−8
EXPAND
x
3
+5x
2
+2x−8
Tick mark Image
SOLUTION STEPS
P(x)=(x+4)(x+2)(x−1)
Apply the distributive property by multiplying each term of x+4 by each term of x+2.
(x
2
+2x+4x+8)(x−1)
Combine 2x and 4x to get 6x.
(x
2
+6x+8)(x−1)
Apply the distributive property by multiplying each term of x
2
+6x+8 by each term of x−1.
x
3
−x
2
+6x
2
−6x+8x−8
Combine −x
2
and 6x
2
to get 5x
2
.
x
3
+5x
2
−6x+8x−8
Combine −6x and 8x to get 2x.
x
3
+5x
2
+2x−8