Question

Simplify the following polynomial. Express your answer as a single polynomial in standard form. (14x^(2)+11x+6)-(3x^(2)+3x+3)

Answer 1

To simplify the given polynomial, we need to subtract the second polynomial from the first one. We can do this by distributing the negative sign to each term in the second polynomial and then combining like terms. The simplified polynomial will be in standard form.

Step-by-step explanation:

To simplify the given polynomial, we need to subtract the second polynomial from the first one. We can do this by distributing the negative sign to each term in the second polynomial and then combining like terms. The simplified polynomial will be in standard form.

First polynomial:

`14x^2 + 11x + 6`

Second polynomial:

`-(3x^2 + 3x + 3)`

Distribute the negative sign:

`-3x^2 - 3x - 3`

Combine like terms:

`14x^2 - 3x^2 + 11x - 3x + 6 - 3`

So the simplified polynomial in standard form is:

`11x^2 + 8x + 3`