Determine the value of b for which the polynomial 5x^3-x^2+4x+b ia divisible by 1-5x
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Answer:
-4/5
Step-by-step explanation:
If the polynomial needs to be divisible by 1-5x, it means 1-5x should be a factor of it.
1 - 5x = 0 => x = 1/5.
Substitute the value of x in the polynomial to get b.
5 (1/5)³ - (1/5)²+ 4(1/5) + b = 0
=> 4/5 + b = 0
=> b = -4/5.
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