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Which statements are true about the polynomial function?

f(x)=x^3−x^2−4x+4

Select each correct answer. Please explain your answer.

f(x)=0 when x=−1 .

f(x) divided by (x−1) has a remainder of 0.

(x−1) is a factor of f(x) .

f(−1)=0

Is "f(x)=0 when x=−1" true or not? To answer this, use synth. div. with -1 as the divisor. Is the remainder 0? If yes, then -1 is a root and f(-1) = 0.

Setting up synth. div.:
______________
-1 / 1 -1 -4 4
-1 2 2
------------------------
1 -2 -2 6 The remainder is 6, so -1 is not a root, and f(x) does
not equal 0 when x = -1.

"f(x) divided by (x−1) has a remainder of 0." Again, set up synth. div., this time with divisor +1:

1 / 1 -1 -4 4
1 0 -4
------------------------
1 0 -4 0 The remainder is 0, so 1 is a root and x-1 is a
factor.

avigo4264 avigo4264 · Answer 2 · 2022-01-06T07:42:14+01:00

avigo4264 avigo4264

06-01-2022

Answer:

f(x) divided by (x−1) has a remainder of 0.

(x−1) is a factor of f(x) .

Step-by-step explanation:

complete test attached

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Will mark as Brainliest. Which statements are true about the polynomial function? f(x)=x^3−x^2−4x+4 Select each correct answer. Please explain your answer. f(x)=0 when x=−1 . f(x) divided by (x−1) has a remainder of 0. (x−1) is a factor of f(x) . f(−1)=0

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Will mark as Brainliest.

Which statements are true about the polynomial function?

f(x)=x^3−x^2−4x+4

Select each correct answer. Please explain your answer.

f(x)=0 when x=−1 .

f(x) divided by (x−1) has a remainder of 0.

(x−1) is a factor of f(x) .

f(−1)=0