Jenna constructs the model to represent 3x2 11x – 4. what factors does jenna need to model for the sides?
The choices are the below that can be elsewhere:
(3x + 1) and (x – 4)
(3x – 1) and (x + 4)
(3x – 2) and (x + 2)
(3x + 2) and (x – 2)
I assume that the correct equation is 3x2 + 11x – 4. The answer is (3x – 1) and (x + 4).
For this case we have the following polynomial:
\(3x ^ 2 + 11x - 4
\)
Rewriting the exponent term equal to 1 we have:
\(3x ^ 2 + 12x - x - 4
\)
Then, grouping terms we have:
\((3x ^ 2 + 12x) - (x + 4)
\)
By doing 3x common factor in the first parenthesis we have:
\(3x (x + 4) - (x + 4)
\)
Then, by making the expression common factor within the parentheses we have:
\((x + 4) (3x-1)
\)
Answer:
The factors that jenna needs to model for the sides are:
\((x + 4) (3x-1)\)