if x-1/2 a factor of 8x^3++ax^2-4x+2 find a
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Answer:
a = (-4)
Step-by-step explanation:
We know that,
If (x - (1/2)) is a factor of 8x³ + ax² - 4x + 2
and If p(x) = 8x³ + ax² - 4x + 2
Then,
x = (1/2)
p(1/2) = 0
Now,
p(x) = 8x³ + ax² - 4x + 2
p(1/2) = 8(1/2)³ + a(1/2)² - 4(1/2) + 2
0 = 8(1/8) + a(1/4) - 2 + 2
0 = 1 + (a/4)
(a/4) = (-1)
a = 4 × (-1)
a = (-4)
Hence,
a = (-4)
Hope it helped and believing you understood it....All the best
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