smurfcraccount smurfcraccount

15-05-2019
Mathematics

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Use the Factor Theorem to determine whether the first polynomial is a factor of the second polynomial.

x - 3; 2x^2 - 4x + 30

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jimrgrant1 jimrgrant1

15-05-2019

Answer:

Not a factor

Step-by-step explanation:

If (x - 3) is a factor then f(3) = 0

f(x) = x² - 4x + 30

f(3) = 2(3)² - 4(3) + 30 = 18 - 12 + 30 = 36 ≠ 0

Since f(3) ≠ 0 then (x - 3) is not a factor of f(x)

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