IDNLearn.com is your go-to resource for finding precise and accurate answers. Discover reliable answers to your questions with our extensive database of expert knowledge.

let the function p be defined by p(x) = x^3 + 10x^2 - 23x - 132 where (x + 11) is a factor. to rewrite the function as the product of two factors, long division was used, but an error was made:

Sagot :

In long division a polynomial is divided by another polynomial with a lower degree

  • The two factors are; (x² - x - 12) and (x + 11)

Reason:

The given function is presented as follows;

x³ + 10·x² - 23·x - 132

A factor of the function is (x + 11)

By long division, we have;

Quotient; x² - x - 12

[tex]{}[/tex]                (x³ + 10·x² - 23·x - 132) ÷ (x + 11)

[tex]{}[/tex]                 x³ + 11·x²

[tex]{}[/tex]                         -x² - 23·x - 132

[tex]{}[/tex]                         -x² - 11·x

[tex]{}[/tex]                               -12·x - 132

[tex]{}[/tex]                               -12·x - 132

[tex]{}[/tex]                                            0

Therefor, we have the two factors, are (x² - x - 12) and (x + 11)

Where;

(x² - x - 12) = (x - 4)·(x + 3)

Therefore, we have;

(x² - x - 12) × (x + 11) = x³ + 10·x² - 23·x - 132

Learn more about long division here;

https://brainly.com/question/12562913

Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! Thank you for choosing IDNLearn.com for your queries. We’re here to provide accurate answers, so visit us again soon.