Question

Subtract 4p^(2)-9p+11 from p^(2)-5p+4 Your answer should be a polynomial in standard form.

Answer 1

We have:

`(p^2-5p+4)-(4p^2-9p+11)`

`p^2-5p+4-4p^2+9p-11`.

Combining like terms, we get:

`-3p^2+4p-7`.

So, our answer is
`-3p^2+4p-7`.

Answer 2

`\huge\boxed{\sf -3p\² + 4p - 7}`

Explanation:

Given condition:

= p² - 5p + 4 - (4p² - 9p + 11)

• Distribute the negative sign across the parenthesis.

= p² - 5p + 4 - 4p² + 9p - 11

• Now, combine like terms.

= p² - 4p² - 5p + 9p + 4 - 11

= -3p² + 4p - 7

This is the required polynomial.

`\rule[224]{224}{2}`