Question

if x=1/2is a zero of the polynomialp(x)=8x3-ax2-x+2find the value of a​

Answer 1

Step-by-step explanation:

I hope

my answer is right

Answer 2

Answer:

a=10

Step-by-step explanation:

GIVEN,

$x=\frac{1}{2}$ is a zero of polynomial.

$p(x) = 8 {x}^{3} - a {x}^{2} - x + 2$

$p( \frac{1}{2} ) = 8 { (\frac{1}{2} )}^{3} - a( { \frac{1}{2} )}^{2} - ( \frac{1}{2})+ 2$

$8( \frac{1}{8} ) - a( \frac{1}{4} ) - \frac{1}{2} + 2 = 0$

$1 - \frac{1}{2} + 2 = \frac{a}{4}$

$3 - \frac{1}{2} = \frac{a}{4}$

$\frac{5}{2} = \frac{a}{4}$

$a = \frac{5}{2} \times 4$

$a = 10$

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