Match each polynomial function with one of its factors. f(x) = x3 − 3x2 − 13x + 15 f(x) = x4 + 3x3 − 8x2 + 5x − 25 f(x) = x3 − 2x2 − x + 2 f(x) = -x3 + 13x − 12 x − 2 --> x + 3 --> x + 4 --> x + 5 -->

Step-by-step explanation:

The value of a function will be zero if the factor is put in it. In order to check whether a factor is of a function or not we will put the value of x from that factor in the function:

So

x-2 = 0 => x=2

Putting in first function

So x-2 is not a factor of first function.

Putting in second function

So x-2 is also not a factor of second function.

Putting in third function:

So x-2 is factor of third function.

...........................

For x+3

x+3=0

x=-3

First function:

So x+3 is a factor of first function.

.............................

For x+4

x+4=0

x=-4

As we have already found the factors of first and third function, we will now only check second and fourth function.

So x+4 is not a factor of second function.

Putting in fourth function:

So x+4 is a factor of fourth function

..........................

For x+5=0

x=-5

Since only one function is remaining we'll only check for that.

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step-by-step explanation: