Manu needs to determine whether x + 4 is a factor of f(x)=−x^4−6x^3+15x−72 .

How can Manu use the factor theorem to determine whether x + 4 is a factor of f(x) ?

Drag a value, expression, or phrase into each underline to correctly complete the statements.

Manu evaluates ________ and determines its value to be _______ . Manu concludes that x + 4 ______ a factor of f(x)=−x^4−6x^3+15x−72 .

The options are f(-4) , -4 , f(0 ), f(4) ,-652 , -72 ,is , is not

I think it should be **f(-4) ,-4 , and is not**

jjennylove Sep 12, 2019

#2**+1 **

Manu needs to determine whether x + 4 is a factor of f(x)=−x^4−6x^3+15x−72 .

How can Manu use the factor theorem to determine whether x + 4 is a factor of f(x) ?

If x + 4 is a factor, then x = -4 is a root.....use synthetic division....if we get a 0, then x + 4 is a factor....so

-4 [ -1 -6 0 15 -72 ]

4 8 -32 68

____________________________

-1 -2 8 -17 -4

We have a remainder of -4, so.. x = -4 is not a root and ..x + 4 is NOT a factor

CPhill Sep 12, 2019

#3**+1 **

Awesome, so I inputted it correct?

Manu evaluates **f(-4) ** and determines its value to be **-4** . Manu concludes that x + 4** is not **a factor of f(x)=−x^4−6x^3+15x−72 .

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jjennylove
Sep 12, 2019