The Binomial Theorem Answers

Which of the number(s) below are potential roots of the function?p(x) = x4 + 22x2 – 16x – 12

Which of the number(s) below are potential roots of the function?q(x) = 6x3 + 19x2 – 15x – 28

According to the rational root theorem, the numbers below are some of the potential roots of f(x) = 10x3 + 29x2 – 66x + 27. Select all that are actual roots.

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Evaluate the function for the given values to determine if the value is a root. p(−2) = p(2) = The value is a root of p(x).

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f(x) = 4x2 − 25 g(x) = 4x2 + 25 h(x) = 3x2 − 25

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Use synthetic division to test one potential root. Enter the numbers that complete the division problem. −5 1 6 −7 −60 a −c −60 1 b −d −60 a = ⇒ -5 b = ⇒ 1 c = ⇒ -5 d = ⇒ -12

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Write the polynomial in factored form. p(x) = (x + 5)(x − ⇒ 3)(x + ⇒ 4)

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Find all real solutions of this equation to answer the question.(6 – 2x)(3 – 2x)x = 40