Question

If one factor of x^3+7x^2-4k+12 is x+3 ,then find value of k

Answer 1

Answer:

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Given polynomial,

p(x) = x³ + 7x² - 4k + 12

(x + 3) is a factor of the polynomial p(x). So,

➙ x = -3

➡ (-3)³ + 7(-3)² - 4k + 12 = 0

➡ -27 + 7(9) - 4k + 12 = 0

➡ -27 + 63 - 4k + 12 = 0

➡ 48 - 4k = 0

➡ 48 = 0 + 4k

➡ 4k = 48

➡ k = 48/4

➡ k = 12

Therefore, the value of k is " 12 " .

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Step-by-step explanation:

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