Question

According to the Distributive Property, which expression is equivalent to 4x3+8x2+12x
4
𝑥
3
+
8
𝑥
2
+
12
𝑥
?(1 point)
Responses

4x(x2+2x+3)
4
𝑥
(
𝑥
2
+
2
𝑥
+
3
)
4 x open paren x squared plus 2 x plus 3 close paren

4x(4x+5x)
4
𝑥
(
4
𝑥
+
5
𝑥
)
4 x open paren 4 x plus 5 x close paren

(2x2+4)(2x2+3)
(
2
𝑥
2
+
4
)
(
2
𝑥
2
+
3
)
open paren 2 x squared plus 4 close paren times open paren 2 x squared plus 3 close paren

(2x2+4)(2x−3)

Answer 1

4x(x^2 + 2x + 3)

Reason: factor out the common factor 4x from each term: 4x^3 + 8x^2 + 12x = 4x(x^2 + 2x + 3).