Question

According to the synthetic division below, which of the following statements are true? Check all that apply. 4 4)3 -13 12 3 0 O A. The number -4 is a root of F(x) = 3x2.13x + 4. B. The number 4 is a root of F(x) = 3x2-13x+4. O C. (3x2 - 13x + 4) - (x + 4) = (3x - 1) D. (3x2 - 13x+4) - (x - 4) = (3x - 1) O E. (x + 4) is a factor of 3x2 - 13x + 4. IF (x-4) is a factor of 3x2.13x+ 4.​

Answer 1

Answer:

(x-4) is a factor of 3x^2-13x+4

(3x^2-13x+4)+(x-4)=(3x-1)

The number 4 is a root of F(x)=3x^2-13x+4

Step-by-step explanation:

Answer 2

The statements that are true are: B. The number 4 is a root of F(x) = 3x²-13x+4; D. (3x² - 13x+4) ÷ (x - 4) = (3x - 1) ; F (x-4) is a factor of 3x²-13x+ 4.

Statement that are true

B. 4 is a root of F(x) = 3x2-13x+4

Hence:

F(x) = 3x²-13x + 4

F(x)=(x-4) (3x-1)

x=4, 1/3

x=4 is a root of Fx

D. (3x² - 13x+4)÷ (x - 4) = (3x - 1)

F. (x-4) is a factor of 3x²-13x+ 4

Hence:

3x²-13x+ 4=(x-4) (3x-1)

Therefore the statements that are true are: B. The number 4 is a root of F(x) = 3x²-13x+4; D. (3x² - 13x+4) ÷ (x - 4) = (3x - 1) ; F (x-4) is a factor of 3x²-13x+ 4.

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