Question

Using the section of the graph shown, which of

these potential roots of the function should you
test first?
f(x) = 2x³-9x² - 6x + 40

Answer 1

Explanation:

STEP1:Equation at the end of step 1

(((2 • (x3)) + 32x2) - 6x) - 40

STEP 2 :

Equation at the end of step2:

((2x3 + 32x2) - 6x) - 40

STEP3:Checking for a perfect cube

3.1 2x3+9x2-6x-40 is not a perfect cube

Trying to factor by pulling out :

3.2 Factoring: 2x3+9x2-6x-40

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: -6x-40

Group 2: 2x3+9x2

Pull out from each group separately :

Group 1: (3x+20) • (-2)

Group 2: (2x+9) • (x2)

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