Question

Simplify the given polynomial and use it to complete the statement.

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


The polynomial simplifies to an expression that is a [A.Quadratic B.Linear C.Consistent] [A.Monomial B.Trinomial C.Binomial] with a degree of [A.0 B.2 C.1]

Answer 1

A. Quadratic

C. Binomial

B. 2

Explanation:

The given polynomial is

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

We expand the bracket to obtain;

`-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)`

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

We regroup the terms to obtain;

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

We simplify to get;

`2x^2+13`

The polynomial simplifies to an expression that is a

A. quadratic

C. Binomial

with a degree of

B. 2