Question

Jenna constructs the model to represent 3x2 11x – 4. what factors does jenna need to model for the sides?

Answer 1

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). 

Answer 2

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:

$(x + 4) (3x-1)$