Mathematics
Grade10
Easy
Question
Find the value of k if x - 3 is a factor of 5x3 - 2x2 + x + k.
- 50
60
- - 60
- - 120
60
The correct answer is: - 120
STEP BY STEP SOLUTION
According to factor theorem, x-a is a factor of p(x) if p(a) = 0.
Here, it is given that x - 3 is a factor of 5x3 - 2x2 + x + k.
Therefore, p(3) must be equal to zero.
p(3) = 5(3)3 - 2(3)2 + 3 + k = 0
Therefore, 5(27) – 2(9) + 3 + k = 0
135 – 18 + 3 + k=0
120 + k = 0
Therefore, k= -120
p(3) = 5(3)3 - 2(3)2 + 3 + k = 0
120 + k = 0
Therefore, k= -120
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