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According to the synthetic division problem below, which of the statements are true?

According to the synthetic division problem below, which of the statements are true-example-1
User M Reddy
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1 Answer

5 votes

Looking at the Algorithm

We can see that

A) True

2 is one of the roots and the divisor of that Divison

B) False

When we plug into the function (x) the root the result is going to be zero

Since f(-2) = 5(-2)² -16(-2) +12 f(-2) = 20 +32 +12 f(-2) = 64 not equal to zero, then x = -2 is not the root

f(x) = -5x² -16x +12 has x_1= 2 and x_2= 6/5

C) False

Factoring f(x) = -5x² -16x +12 we'll have f(x) = (5x -6)(x-2)

D) True

For the previous explanation

E) True

Rewriting as a factored form we'll have f(x) = (5x -6)(x-2)/(x-2) = 5x -6

F) False

We can't find the same result as the previous one. by dividing by (x+2)

User Tieru
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