Question

According to the synthetic division below, which of the following statementsare true?Check all that apply.25 -161210125-60A. (5x²-16x+12) + (x+2) = (5x-6)B. (5x2-16x+12) + (x-2) = (5x-6)C. (x-2) is a factor of 5x² - 16x + 12.D. (x+2) is a factor of 5x² - 16x + 12.☐E. The number 2 is a root of F(x) = 5x²-16x + 12.F. The number -2 is a root of F(x) = 5x²-16x + 12.

Answer 1

Given:

-----------

2| 5 -16 12

10 12

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5 -6 0

Required:

To choose thecorrect statement.

Step-by-step explanation:

Here

`(5x^2-16x+12)/(x-2)=(5x-6)`

Is correct.

And (x-2) is a fcatior of

`5x^2-6x+12`

is correct.

And the number 2 is root of the given function.

Final Answer:

The option B,C and E are correct.