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emmasim [6.3K]
3 years ago
9

Find all rational roots for p(x)=0

Mathematics
1 answer:
Olenka [21]3 years ago
8 0

Answer

C. (5/2, -1/3)

Step by step explanation

Here we use the rational root theorem.

The possible roots are

+1, +3, +5, +15, +1/2, +3/2, +5/2, +15/2, +1/3, +5/3, +1/6 and +5/6

We have to use the synthetic division to find the correct root of this function.

Here the roots are 5/2 and -1/3

Others are not roots of this function.

Let's check x = 5/2  with synthetic division.

5/2)   6   -13   13   -39   -15

-               15    5    45    15

           --------------------------

             6     2   18     6     0

Similarly x = -1/3 is also root of this function.

Answer: C. (5/2, -1/3)


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Answer:

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Step-by-step explanation:

Let's solve your equation step-by-step.

−4(r+2)=4(2−2r)

Step 1: Simplify both sides of the equation.

−4(r+2)=4(2−2r)

(−4)(r)+(−4)(2)=(4)(2)+(4)(−2r)(Distribute)

−4r+−8=8+−8r

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Step 2: Add 8r to both sides.

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4r−8=8

Step 3: Add 8 to both sides.

4r−8+8=8+8

4r=16

Step 4: Divide both sides by 4.

4r

4

=

16

4

r=4

Answer:

r=4

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