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]

Respuesta :

Answer:

A. Quadratic

C. Binomial

B. 2

Step-by-step explanation:

The given polynomial is

[tex](-5x^2-2x+4)+(8x^2-x-1)-(x+2)(x-5)[/tex]

We expand the bracket to obtain;

[tex]-5x^2-2x+4+8x^2-x-1-(x^2-5x+2x-10)[/tex]

[tex]-5x^2-2x+4+8x^2-x-1-(x^2-3x-10)[/tex]

[tex]-5x^2-2x+4+8x^2-x-1-x^2+3x+10[/tex]

We regroup the terms to obtain;

[tex]-5x^2+8x^2-x^2-x+3x-2x+4+10-1[/tex]

We simplify to get;

[tex]2x^2+13[/tex]

The polynomial simplifies to an expression that is a

A. quadratic

C. Binomial

with a degree of

B. 2