We appreciate your visit to Which expressions are factors of tex x 2 5x 36 tex Select TWO correct answers A tex x 6 tex B tex x 6 tex. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To factor the expression [tex]\(x^2 - 5x - 36\)[/tex], we need to identify two numbers that multiply to the constant term, -36, and add to the linear coefficient, -5.
1. Start by listing the pairs of factors that multiply to -36:
- [tex]\(1 \times -36\)[/tex]
- [tex]\(-1 \times 36\)[/tex]
- [tex]\(2 \times -18\)[/tex]
- [tex]\(-2 \times 18\)[/tex]
- [tex]\(3 \times -12\)[/tex]
- [tex]\(-3 \times 12\)[/tex]
- [tex]\(4 \times -9\)[/tex]
- [tex]\(-4 \times 9\)[/tex]
- [tex]\(6 \times -6\)[/tex]
2. We need to find the pair that also adds up to -5. Let's check the pairs:
- [tex]\(1 + (-36) = -35\)[/tex]
- [tex]\(-1 + 36 = 35\)[/tex]
- [tex]\(2 + (-18) = -16\)[/tex]
- [tex]\(-2 + 18 = 16\)[/tex]
- [tex]\(3 + (-12) = -9\)[/tex]
- [tex]\(-3 + 12 = 9\)[/tex]
- [tex]\(4 + (-9) = -5\)[/tex] (This pair works!)
Thus, the pair [tex]\(4\)[/tex] and [tex]\(-9\)[/tex] multiply to -36 and add to -5.
3. Write the expression [tex]\(x^2 - 5x - 36\)[/tex] using these numbers:
[tex]\[
x^2 - 5x - 36 = (x - 9)(x + 4)
\][/tex]
So, the factors of [tex]\(x^2 - 5x - 36\)[/tex] are [tex]\(x - 9\)[/tex] and [tex]\(x + 4\)[/tex]. Therefore, the expressions that are factors are [tex]\(x-9\)[/tex] and [tex]\(x+4\)[/tex].
1. Start by listing the pairs of factors that multiply to -36:
- [tex]\(1 \times -36\)[/tex]
- [tex]\(-1 \times 36\)[/tex]
- [tex]\(2 \times -18\)[/tex]
- [tex]\(-2 \times 18\)[/tex]
- [tex]\(3 \times -12\)[/tex]
- [tex]\(-3 \times 12\)[/tex]
- [tex]\(4 \times -9\)[/tex]
- [tex]\(-4 \times 9\)[/tex]
- [tex]\(6 \times -6\)[/tex]
2. We need to find the pair that also adds up to -5. Let's check the pairs:
- [tex]\(1 + (-36) = -35\)[/tex]
- [tex]\(-1 + 36 = 35\)[/tex]
- [tex]\(2 + (-18) = -16\)[/tex]
- [tex]\(-2 + 18 = 16\)[/tex]
- [tex]\(3 + (-12) = -9\)[/tex]
- [tex]\(-3 + 12 = 9\)[/tex]
- [tex]\(4 + (-9) = -5\)[/tex] (This pair works!)
Thus, the pair [tex]\(4\)[/tex] and [tex]\(-9\)[/tex] multiply to -36 and add to -5.
3. Write the expression [tex]\(x^2 - 5x - 36\)[/tex] using these numbers:
[tex]\[
x^2 - 5x - 36 = (x - 9)(x + 4)
\][/tex]
So, the factors of [tex]\(x^2 - 5x - 36\)[/tex] are [tex]\(x - 9\)[/tex] and [tex]\(x + 4\)[/tex]. Therefore, the expressions that are factors are [tex]\(x-9\)[/tex] and [tex]\(x+4\)[/tex].
Thanks for taking the time to read Which expressions are factors of tex x 2 5x 36 tex Select TWO correct answers A tex x 6 tex B tex x 6 tex. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
