Question

Subtract polynomials (intro)

Subtract.
Your answer should be a polynomial in standard form.
(-5t+ 4t? – t) – (8t2 +t)

Answer 1

The result in standard form is:

`\left(-5t+4t^2-t\right)-\left(8t^2+t\right)=-4t^2-7t`

Explanation:

Given the polynomials

• -5t+ 4t² – t

• 8t² + t

subtracting 8t² + t from -5t+ 4t² – t.

`\left(-5t+\:4t^2\:-\:t\right)\:-\:\left(8t^2\:+\:t\right)`

Remove parenthese: (-a) = -a

i.e. - (8t² + t) = 8t² - t

so the expression becomes

`=-5t+4t^2-t-8t^2-t`

grouping the like terms

`=4t^2-8t^2-5t-t-t`

Add similar elements: 4t² - 8t² = -4t²

`=-4t^2-5t-t-t`

Add similar elements: -5t - t - t = -7t

`=-4t^2-7t`

Therefore, the result in standard form is:

`\left(-5t+4t^2-t\right)-\left(8t^2+t\right)=-4t^2-7t`