The Rational Roots 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

–16✔ –202

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

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.

Using the section of the graph shown, which of these potential roots of the function should you test first?f(x) = 2x3 – 9x2 – 6x + 40

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Evaluate the function for the given values to determine if the value is a root. p(−2) = ⇒ 0 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

Use synthetic division to test one potential root. Enter the numbers that complete the division problem.

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 = b = c = d =

–10 –7–531524

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

✔ No, this polynomial has complex roots.No, this polynomial has irrational roots.No, this polynomial has irrational and complex roots.Yes.

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No, this polynomial has complex roots.✔ No, this polynomial has irrational roots.No, this polynomial has irrational and complex roots.Yes.