Question

Written as a simplified polynomial in standard form, what is the result when (3x+7)^2 is subtracted from 3?

Answer 1

Given:

$(3x+7)^2$ is subtracted from 3.

To find:

The result of the given statement in the standard form of the polynomial.

Solution:

We need to find the result when $(3x+7)^2$ is subtracted from 3.

So, the resulted polynomial can be written as:

$P(x)=3-(3x+7)^2$

On simplification, we get

$P(x)=3-((3x)^2+2(3x)(7)+(7)^2)$               $[\because (a+b)^2=a^2+2ab+b^2]$

$P(x)=3-(9x^2+42x+49)$

$P(x)=3-9x^2-42x-49$

$P(x)=-9x^2-42x-46$

Therefore, the resulted polynomial in standard form is $-9x^2-42x-46$.