Question

warm-up
use factoring to rewrite this polynomial expression.
drag each factor to the correct location on the equation. each factor can be used more than once, but not all factors will be used.

\\x^3 + 5x^2 - 9x - 45 = (\quad)(\quad)(\quad)\\

options:
\\(x - 3\\)
\\(x - 5\\)
\\(x + 3\\)
\\(x + 5\\)
\\(x + 9\\)
\\(x - 9\\)
\\(x + 1\\)
\\(x - 1\\)

Explanation:

Group terms to find common factors

$$ (x^3 + 5x^2) - (9x + 45) = x^2(x + 5) - 9(x + 5) $$

Factor out the common binomial

$$ (x + 5)(x^2 - 9) $$

Factor the difference of squares

$$ (x + 5)(x - 3)(x + 3) $$

Answer:

Use factoring to rewrite this polynomial expression.

Drag each factor to the correct location on the equation. Each factor can be used more than once, but not all factors will be used.

\(x^3 + 5x^2 - 9x - 45 =\) (<blank>\(x + 5\)</blank>)(<blank>\(x - 3\)</blank>)(<blank>\(x + 3\)</blank>)