4. If one factor of x3 + 7kx2 - 4x + 12 is (x + 3), then the value of k is
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Answered by
3
f(x)=x^3+7Kx^2-4Kx+12
(x+3) is a factor of f(x)
So, f(−3)=0
−27+63K+12K+12=0
75K=15
=K= 5/1
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(x+3) is a factor of f(x)
So, f(−3)=0
−27+63K+12K+12=0
75K=15
=K= 5/1
HOPE IT HELPS YOU
PLZ DO MARK IT AS BRAINLIEST ANSWER
Answered by
2
Answer:
Step-by-step explanation:
(x+3) = 0
x = -3
P(x) = x³ + 7kx² - 4x + 12
P(-3) = (-3)³ + 7k× (-3)² - 4×(-3) + 12
-27 + 7k × 9 + 12 + 12 = 0
7k × 9 + 12 + 12 = 0 + 27
7k +12 +12 = 27/9
7k + 24 = 3
7k = 3 - 24
K = - 21/7
Therefore k = -3
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