Question

2

Select the correct answer from each drop-down menu.
Simplify the given polynomial and use it to complete the statement.
(-512 – 2x + 4) + (872 – 1 – 1) - (x + 2) (1 – 5)
The polynomial simplifies to an expression that is a
with a degree of
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Pretty sure the problem above is wrong so refer to the picture of your trying to solve thx!!

Answer 1

`2x^2+13`

Explanation:

Given

`(-5x^2-2x+4)+(8x^2-x-1)-(x+2)(x-5)`

Required

Simplify

Expand brackets

`(-5x^2-2x+4)+(8x^2-x-1)-(x^2-5x+2x-10)`

`(-5x^2-2x+4)+(8x^2-x-1)-(x^2-3x-10)`

Open all brackets

`-5x^2-2x+4+8x^2-x-1-x^2+3x+10`

Collect Like Terms

`-5x^2+8x^2-x^2-2x-x+3x+4-1+10`

`2x^2+13`

Hence, the polynomial simplifies to
`2x^2+13` and it has a degree of 2