Question

Find the difference when the polynomial -5x^2+3x+8 is subtracted from the polynomial 2x^2+4x+1.

Answer 1

The difference is $7x^{2} + 1x-7$.

Step-by-step explanation:

Step 1:

The polynomial $-5x^{2}+3x+8$ is subtracted from the polynomial $2x^{2} + 4x +1$.

If we write this as an equation, we get

$(2x^{2} + 4x +1) -(-5x^{2}+3x+8)$.

To subtract the polynomials, we group up the terms based on their variables.

In this subtraction, there are two variables i.e. $x^{2}$ and $x$ and there is one constant term.

Step 2:

The subtraction of the $x^{2}$ variables; $2x^{2} -(-5x^{2} ) = 2x^{2} +5x^{2} = 7x^{2}$.

The subtraction of the $x$ variables; $4x - (3x) = 1x$.

The subtraction of the constants; $1-(8) = -7$.

So $(2x^{2} + 4x +1) -(-5x^{2}+3x+8) = 7x^{2} + 1x-7$.