Create a factorable polynomial with a GCF of 3x. Rewrite that polynomial in two other equivalent forms. Explain how each form wa

Question

natta225 [31]

3 years ago

13

Create a factorable polynomial with a GCF of 3x. Rewrite that polynomial in two other equivalent forms. Explain how each form wa

s created.

Mathematics

2 answers:

sp2606 [1] · Answer 1 · 2022-07-05T15:32:07+03:00

Answer:

The greatest common factor or GCF is the greatest common factor of 2 or more numbers or polynomials.

Step-by-step explanation:

We have to create a factor-able polynomial with a GCF of 3x.

We can take an example of : (x) = $3x^{3}+12x^{2}+3x$

We can rewrite this as : $3x(x^{2} +4x+1)$

WE can also rewrite it as : $12x^{2} +3x^{3}+3x$

Svetradugi [14.3K] · Answer 2 · 2022-07-05T17:59:46+03:00

A GCF, Greatest Common Factor, is the expression that could divide all the expressions in the polynomial to yield the lowest value or factor in each expression. An example of which is,

<em>27x³ + 9x² + 3x</em>

The given expression above is a trinomial because there are only three terms. The term that would be able to divide all the terms is 3x.

To rewrite the expression, we divide all the terms by 3x
(27x³ + 9x² + 3x)/(3x)

Factoring out the numerator,
<em> (3x)(9x² + 3x + 1)</em>