Unit 2, Lesson 13
Polynomial Division (Part 2)
Algebra 2
Sign in to view assessments and invite other educators
Sign in using your existing Kendall Hunt account. If you don’t have one, create an educator account.
Let the function \(P\) be defined by \(P(x) = x^3 + 7x^2 - 26x - 72\) where \((x+9)\) is a factor. To rewrite the function as the product of two factors, long division was used but an error was made:
\(\displaystyle \require{enclose} \begin{array}{r} x^2+16x+118\phantom{000} \\ x+9 \enclose{longdiv}{x^3+7x^2-26x-72} \phantom{000}\\ \underline{-x^3+9x^2} \phantom{-26x-720000} \\ 16x^2-26x \phantom{-720000}\\ \underline{-16x^2+144x} \phantom{-20000} \\ 118x-72 \phantom{00} \\ \underline{-118x+1062} \\ 990 \end{array}\)
How can we tell by looking at the remainder that an error was made somewhere?
The graph of a polynomial function \(f\) is shown. Which statement is true about the end behavior of the polynomial function?
As \(x\) gets larger and larger in the either the positive or the negative direction, \(f\) gets larger and larger in the positive direction.
As \(x\) gets larger and larger in the positive direction, \(f\) gets larger and larger in the positive direction. As \(x\) gets larger and larger in the negative direction, \(f\) gets larger and larger in the negative direction.
As \(x\) gets larger and larger in the positive direction, \(f\) gets larger and larger in the negative direction. As \(x\) gets larger and larger in the negative direction, \(f\) gets larger and larger in the positive direction.
As \(x\) gets larger and larger in the either the positive or negative direction, \(f\) gets larger and larger in the negative direction.