find the value of k if (X - 1 ) is a factor of 4 x cube + 3 x square - 4 x + k
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Step-by-step explanation:
→ x-1 is a factor of
→ p(x) = 4x³ + 3x² - 4x + k
→ x - 1 = 0
→ x = 1
→ p(x) = 4x³ + 3x² - 4x + k
→ p(1) = 4(1)³ + 3(1)² - 4(1) + k
= 4(1) + 3(1) - 4 + k
= 4 + 3 - 4 + k
= 3 + k
→ 3 + k = 0
→ k = 0 - 3
→ k = -3
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