Question

1. what is the GCF of the terms of 8c^3+12c^2+10c?

Answer 1

If you pay attention 2 goes into 8, 10, & 12 and it looks like they all have one C. So what do you think it is lol?(:

Answer 2

Answer:

1. C. 2c

2. $3d^2(2d^2+3d-4)$

Step-by-step explanation:

A. We have been given an expression and we are asked to find the GCF of our given expression.

$8c^3+12c^2+10c$

Let us find factors of each of our given terms.

Factors of $c^3$ are $c*c*c$,

Factors of $c^2$ are $c*c$,

We can see that c is the greatest common factor of $c^3$, $c^2$ and $c$.

Factors of 8 are: 1, 2, 4, 8.

Factors of 12 are: 1, 2, 3, 4, 6, 12.  

Factors of 10 are: 1, 2, 5, 10.

The greatest common factor of 8,12 and 10 is 2.

So let us factor out 2c from our expression.

$2c(4c^2+6c+5)$

Therefore, the greatest common factor of our given expression is 2c and option C is the correct choice.

2. We have been given a polynomial and we are asked to factor our given polynomial.

$6d^4+9d^3-12d^2$

We will pull out the greatest common factor of the terms of our given polynomial.

We can see that GCF of $d^4$, $d^3$ and $d^2$ is $d^2$.

The GCF of 6, 9 and 12 is 3.

So let us factor out $3d^2$ from our polynomial.

$3d^2(2d^2+3d-4)$

Therefore, the factored form of our given polynomial is $3d^2(2d^2+3d-4)$.