Which of the following best describes the relationship between (x + 1) and the polynomial x2 - x - 2?

A. It is impossible to tell whether (x + 1) is a factor.
B. (x + 1) is not a factor.
C. (x + 1) is a factor.

Respuesta :

Answer:

C

Step-by-step explanation:

to factor x² - x - 2

consider the factors of the constant term which sum to give the coefficient of the x-term.

the factors are - 2 and + 1 since - 2 × 1 = - 2 and - 2 + 1 = - 1

x² - x - 2 = (x - 2)(x + 1), hence (x + 1) is a factor


The relationship between (x + 1) and the polynomial x² - x - 2 is that            ( x + 1) is a factor of x² - x - 2.

What is a polynomial?

A mathematical expression of one or more algebraic terms each of which consists of a constant multiplied by one or more variables raised to a non negative integral power.

How to know whether there is any relation  between (x + 1) and the polynomial x² - x - 2?

The given polynomial is x² - x - 2.

  • Here we should try to factorise the polynomial.

x² - x - 2

= x² - 2x + x - 2

= x( x - 2) + 1( x - 2)

=( x - 2) ( x + 1)

So we can see that, ( x + 1) is a factor of x² - x - 2.

So, option C is correct.

Find more about "Factorization" here : https://brainly.com/question/25829061

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