MATH SOLVE

4 months ago

Q:
# Instructions:Drag the tiles to the correct boxes to complete the pairs. Match each polynomial function with one of its factors. Tiles f(x) = x3 − 3x2 − 13x + 15 f(x) = x4 + 3x3 − 8x2 + 5x − 25 f(x) = x3 − 2x2 − x + 2 f(x) = -x3 + 13x − 12 Pairs x − 2 arrowBoth x + 3 arrowBoth x + 4 arrowBoth x + 5 arrowBoth NextReset

Accepted Solution

A:

We have the following functions:

f (x) = x3 - 3x2 - 13x + 15

f (x) = x4 + 3x3 - 8x2 + 5x - 25

f (x) = x3 - 2x2 - x + 2

f (x) = -x3 + 13x - 12

Factoring we have:

f (x) = x3 - 3x2 - 13x + 15 -------> x + 3

f (x) = x4 + 3x3 - 8x2 + 5x - 25 -> x + 5

f (x) = x3 - 2x2 - x + 2 ------------> x - 2

f (x) = -x3 + 13x - 12 -------------> x + 4

f (x) = x3 - 3x2 - 13x + 15

f (x) = x4 + 3x3 - 8x2 + 5x - 25

f (x) = x3 - 2x2 - x + 2

f (x) = -x3 + 13x - 12

Factoring we have:

f (x) = x3 - 3x2 - 13x + 15 -------> x + 3

f (x) = x4 + 3x3 - 8x2 + 5x - 25 -> x + 5

f (x) = x3 - 2x2 - x + 2 ------------> x - 2

f (x) = -x3 + 13x - 12 -------------> x + 4