Use the Factor Theorem and synthetic division to show x + 5 is a factor of f(x) = 2x3 + 7x2 − 14x + 5

Factor theorem: .

Synthetic division: .

Step-by-step explanation:

By the factor theorem, a monomial of the form (where is a constant) is a factor of polynomial if and only if .

In this question, the monomial is , which is equivalently . .

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Hence, by the factor theorem,  , which is equivalent to , is a factor of .

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The remainder is when dividing by . Hence, is a factor of .

answer: 59

step-by-step explanation:

step-by-step explanation:

∆abc has the points a(1, 7), b(-2, 2), and c(4, 2) as its vertices. formed with the point d(1, 2) as its third vertex, then ∆abd is triangle.