The Rational Roots Theorem Answers

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A
According to the rational root theorem, potential rational roots must be in theform where p is a factor of the constant term and q is a factor of the leading coefficient.
Option A
B
3 is not a factor of 28, and 4 is not a factor of 6. So, does not satisfy the rational root theorem.
Option B
C
Substituting in for x does not result in 0. The remainder is not 0 when dividing by x –
Option C
23
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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.

A
No, this polynomial has complex roots.
B
No, this polynomial has irrational roots.
C
No, this polynomial has irrational and complex roots.
D
Yes.
27

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

A
✔ No, this polynomial has complex roots.
B
No, this polynomial has irrational roots.
C
No, this polynomial has irrational and complex roots.
D
Yes.
30

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

A
No, this polynomial has complex roots.
B
✔ No, this polynomial has irrational roots.
C
No, this polynomial has irrational and complex roots.
D
Yes.
32

–16✔ –202

A
–16
B
✔ –2
C
0
D
2

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