Question

if x-1/2 a factor of 8x^3++ax^2-4x+2 find a

Answer 1

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