Question

Consider the polynomial 6x2 – 8x + 2. What is the GCF of the polynomial?

Answer 1

What is the GCF of the polynomial?

The answer should be 2

What is the equivalent factored form of the polynomial?

The answer should be 2(3x-1)(x-1)

Answer 2

The GCF is 2

Explanation:

Given:
`6x^2-8x+2`

We need to find the GCF of the polynomial.

GCF: It is greatest common factor of polynomial.

We are given a trinomial and need to factor it.

We will factor each each term

`6x^2\rightarrow 2\cdot 3\cdot x\cdot x`

`8x\rightarrow 2\cdot 2\cdot 2\cdot x`

`2\rightarrow 2\cdot 1`

We can see 2 is common in all three term.

So, 2 would be GCF of the given polynomial.

Hence, The GCF is 2