Remainder Theorem Test

Question 1 of 5: Find f(k):

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$$f(x)=x^4 - 9x^3 + 18x^2 - 85x + 56$$ $$k=8$$

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$$f(8)=0$$

$$f(8)=16$$

$$f(8)=-112$$

$$f(8)=33$$

$$f(8)=-1$$

Question 2 of 5: Find f(k):

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$$f(x)=12x^6 - 3x^5 - 12x^3 - 8x^2 + 15$$ $$k=-1$$

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$$f(-1)=0$$

$$f(-1)=115$$

$$f(-1)=19$$

$$f(-1)=12$$

$$f(-1)=34$$

Question 3 of 5: Find f(k):

$$f(x)=x^2 + 3x - 7$$ $$k=3 + i$$

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$$f(3 + i)=-2i$$

$$f(3 + i)=11 + 9i$$

$$f(3 + i)=9 - 2i$$

$$f(3 + i)=3 - i$$

$$f(3 + i)=10 + 9i$$

Question 4 of 5: Determine if k is a zero:

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$$f(x)=x^4 - 3x^3 - x^2 + 3x$$ $$k=3$$

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Yes

Question 5 of 5: Determine if k is a zero:

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$$f(x)=x^4 - 2x^3 + 6x^2 + 8x - 40$$ $$k=1 + 3i$$

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Yes

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