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 with a degree of .

Answer 1

Answer:

The answer is below

Step-by-step explanation:

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

(-5x² - 2x + 4) + (8x² - x - 1) + (x + 2)(x - 5)

.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

Solution:

A polynomial is an expression involving operations of addition, subtraction, multiplication, exponents which consists of variables and their coefficient. A trinomial is a polynomial consisting of three terms, while a binomial consist of two terms and a monomial consist of one term.

The degree of a polynomial is the highest degree of any of the terms of the polynomial. If it has a degree of 0 it is a constant, a degree of 1 it is linear while for a degree of 2 it is quadratic.

(-5x² - 2x + 4) + (8x² - x - 1) + (x + 2)(x - 5)

= (-5x² - 2x + 4) + (8x² - x - 1) + (x² -5x + 2x - 10)

= (-5x² - 2x + 4) + (8x² - x - 1) + (x² - 3x - 10)

= (-5x² + 8x² + x² - 2x - x - 3x + 4 - 1 - 10)

= 4x² - 6x - 7

Therefore:

.The polynomial simplifies to an expression that is a quadratic trinomial of degree 2.