Question

Select the correct answer from each drop-down menu. Simplify the given polynomial and use it to complete the statement.

.




The polynomial simplifies to an expression that is a____
A.quadratic
B.liner
C.constany
______
A.trinomial
B.binomial
C.monomial
with a degree of____
A.1
B.2
C.0
​

Answer 1

Quadratic

Binomial

with degree 2

Explanation:

We perform the multiplication of binomials indicated and get to the expression:

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

and combining like terms we obtain:

`-5x^2-2x+4+8x^2-x-1-x^2+3x+10=\\=2x^2+0x+13 =2x^2+13`

which is a Quadratic Binomial with a degree of "2"