(x+2)(x2+3x−4)
(
x
+
2
)
(
x
2
+
3
x
−
4
)
Simplify the product into standard form.
(1 point)
Responses
x3+5x2+10x−8
x
3
+
5
x
2
+
10
x
−
8
x cubed plus 5 x squared plus 10 x minus 8
x3+7x2−8
x
3
+
7
x
2
−
8
x cubed plus 7 x squared minus 8
x3+5x2+2x+8
x
3
+
5
x
2
+
2
x
+
8
x cubed plus 5 x squared plus 2 x plus 8
x3+5x2+2x−8
3 answers
x^3 + 5x^2 + 2x - 8
are you sure its right
Apologies for the mistake. Let's reevaluate the product:
(x + 2)(x^2 + 3x - 4)
Expanding the product:
= x(x^2 + 3x - 4) + 2(x^2 + 3x - 4)
= x^3 + 3x^2 - 4x + 2x^2 + 6x - 8
= x^3 + 5x^2 + 2x - 8
Therefore, the correct simplification of the product into standard form is:
x^3 + 5x^2 + 2x - 8
(x + 2)(x^2 + 3x - 4)
Expanding the product:
= x(x^2 + 3x - 4) + 2(x^2 + 3x - 4)
= x^3 + 3x^2 - 4x + 2x^2 + 6x - 8
= x^3 + 5x^2 + 2x - 8
Therefore, the correct simplification of the product into standard form is:
x^3 + 5x^2 + 2x - 8