WILL FAN AND MEDAL
f(x) = x^3 + x^2 – 21x – 45
Part A: Use the Remainder Theorem to determine whether the binomials x – 5 and x + 1 represent dimensions of the rectangular prism.
Part B: Rewrite the given function as a product of binomial factors
Part C: he area of the base of the rectangular prism is 289 cm^2. What are the dimensions of the rectangular prism?

Question

WILL FAN AND MEDAL 
f(x) = x^3 + x^2 – 21x – 45
Part A:  Use the Remainder Theorem to determine whether the binomials x – 5 and x + 1 represent dimensions of the rectangular prism.
Part B: Rewrite the given function as a product of binomial factors
Part C: he area of the base of the rectangular prism is 289 cm^2. What are the dimensions of the rectangular prism?

triciaal · Answer

the remainder theorem paraphrased says if (x-a) is a factor of the function then when x = a the remainder is 0 (no remainder)

triciaal · Answer

is (x - 5) a factor of this function?
is (x + 1) a factor?

triciaal · Answer

Part B: factor the function  hint one of the expressions is a factor

triciaal · Answer

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