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According to the synthetic division below, which of the following statements
are true?
Check all that apply.
3)2 -2 -12
6 12
2 4 0

A. (x+3) is a factor of 2x² - 2x-12.
B. The number -3 is a root of F(x) = 2x² - 2x-12.
c. (2x²-2x-12) + (x-3) = (2x + 4)
D. The number 3 is a root of F(x) = 2x2 - 2x-12.
E. (x-3) is a factor of 2x² - 2x-12.
O (2x2-2x-12) + (x+3) = (2x + 4)

According to the synthetic division below which of the following statements are true Check all that apply 32 2 12 6 12 2 4 0 A x3 is a factor of 2x 2x12 B The n class=

Respuesta :

MrRoyal

The true statements about the synthetic division are

  • c. (2x²-2x-12) + (x-3) = (2x + 4)
  • d. The number 3 is a root of F(x) = 2x^2 - 2x-12.
  • e. (x-3) is a factor of 2x² - 2x-12.

How to determine the true statements?

The synthetic division is given as:

3)2 -2 -12

       6 12

    2 4 0

In the above representation of the synthetic division, we have:

  • Quotient = 2x + 4
  • Dividend = 2x^2 - 2x - 12
  • Divisor = x- 3
  • Remainder = 0

Because the remainder is 0, then

(2x^2 - 2x - 12) ÷ (x - 3) = (2x + 4) --- option C

Set the divisor to 0

x - 3 = 0

Solve for x

x = 3

This means that 3 is a root of 2x^2 - 2x - 12 --- option (D) and x - 3 is a factor of 2x^2 - 2x - 12 --- option (E)

Hence, the true statements are (C), (D) and (E)

Read more about synthetic divisions at:

https://brainly.com/question/12951962

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