Louise begins factoring the polynomial, which has four terms. 4x3 + 12x2 + 5x + 15 4x2(x + 3) + 5(x + 3) which is the completely factored form of her polynomial? 4x2(x + 3)2 x(4x2 + 5) (4x2 + 5) (x + 3) (4x2 + 5) (x + 3)2

Option (3) is correct.

The completely factored form of her polynomial is  

Step-by-step explanation:

Given : Louise begins factoring the polynomial, which has four terms.

We have to choose the completely factored form of her polynomial.

Consider the given polynomial

We will factorize the given polynomial using grouping of terms and taking common factors out.

Taking common from first two terms and 5 common from last two terms, we have,

Taking (x+3)  common , we have,

Thus, option (3) is correct.

The completely factored form of her polynomial is  

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation: