Question

Jenna constructs the model to represent 3x2 11x – 4. An algebra tile configuration. 0 tiles are in the Factor 1 spot. 0 tiles are in the Factor 2 spot. 20 tiles are in the Product spot in 4 columns with 5 rows. First row: 3 x squared, 1 negative x. The last 4 rows are the same: 3 x, 1 negative. What factors does Jenna need to model for the sides? (3x 1) and (x – 4) (3x – 1) and (x 4) (3x – 2) and (x 2) (3x 2) and (x – 2).

Answer 1

Jenna needs the factor of the polynomial $\rm 3x^2+ 11x - 4$ is (x+4) and (3x-1).

What is polynomial?

Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

Given

Jenna constructs the model to represent $\rm 3x^2+ 11x - 4$.

On factorization,

$\rm 3x^2+ 11x - 4\\\\3x^2 + 12x - x - 4\\\\3x (x +4) - 1 (x +4)\\\\(3x - 1)(x+ 4)$

Thus, the factor of the polynomial is (x + 4) and (3x - 1).

More about the polynomial link is given below.

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