find the value of a if x-2 is a factor of x^3+ax^2-2x+a+4
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Answer:
a = -8/5 or - 1 3/5
Step-by-step explanation:
Let f(x) = x³ + ax² - 2x + a + 4
Given x-2 is a factor ... therefore take the value of x as 2..
Given, f(2)=0
f(2) = 2³ + a (2²) - 2(2) + a + 4 =0
= 8 + a(4) - 4 + a + 4 =0
= 8 + 4a + a = 0
=5a = -8
=> a = -8/5 or - 1 3/5
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