The Rational Roots Theorem Answers
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
Question text not available
-16
–16✔ –202
⇒ -12
-12
Which of the numbers below are some potential roots of p(x) = x3 + 6x2 − 7x − 60 according to the rational root theorem?
Question text not available
4
0±2±4 ±9±3±6 ±12
Select all of the following that are potential roots of p(x) = x4 − 9x2 − 4x + 12?
Question text not available
No, this polynomial has complex roots.No, this polynomial has irrational roots.No, this polynomial has irrational and complex roots.✔ Yes.
–10 –7–531524
Which of the numbers below are some potential roots of p(x) = x3 + 6x2 − 7x − 60 according to the rational root theorem?
Find all real solutions of this equation to answer the question.(6 – 2x)(3 – 2x)x = 40
Yuri thinks that is a root of the following function.q(x) = 6x3 + 19x2 – 15x – 28Explain to Yuri why cannot be a root.
According to the Rational Root Theorem, a rational root must be of the form p/q, where p is a factor of the constant term and q is a factor of the leading coefficient. Since 3 is not a factor of 28 and 4 is not a factor of 6, 3/4 does not satisfy the theorem. Substituting 3/4 into the function gives -833/32, not 0, so it is not a root.
Did you include the following in your response?
✔ No, this polynomial has complex roots.No, this polynomial has irrational roots.No, this polynomial has irrational and complex roots.Yes.
⇒ 1
1
No, this polynomial has complex roots.✔ No, this polynomial has irrational roots.No, this polynomial has irrational and complex roots.Yes.
⇒ -5
-5
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