Which of the following is the simplified form of (−10x2+20x+80)x+2
(1 point)
Responses
x+4
x plus 4
−10x+40
negative 10 x plus 40
10x−40
10 x minus 40
x−4
−10x+40
To simplify the expression (-10x^2+20x+80)x+2, we need to use the distributive property.
Distributing the x term to each term inside the parentheses, we get:
-10x^2*x + 20x*x + 80*x + 2*x
This simplifies to:
-10x^3 + 20x^2 + 80x + 2x
Therefore, the simplified form of the expression is -10x^3 + 20x^2 + 82x.
To find the simplified form of the expression (-10x^2 + 20x + 80)x + 2, you need to perform multiplication and combine like terms. Let's go step by step:
1. First distribute (-10x^2 + 20x + 80) to (x + 2):
(-10x^2 + 20x + 80)x + 2 = -10x^3 + 20x^2 + 80x + 2x + 160
2. Next, combine like terms. In this case, we can combine the terms with the same degree:
-10x^3 + 20x^2 + 80x + 2x + 160 = -10x^3 + 20x^2 + 82x + 160
So, the simplified form of the expression (-10x^2 + 20x + 80)x + 2 is -10x^3 + 20x^2 + 82x + 160.
None of the given options, x + 4, -10x + 40, 10x - 40, or x - 4, match the simplified form of the expression.