Question

If x = 1/2 is a zero of the polynomial f(x) = 8x 3 + ax 2 – 4x + 2, find the value of a

Answer 1

Answer:

Step-by-step explanation:

HOPE IT HELPS YOU

Attachments:

Answer 2

SOLUTION :

$\underline{\bf{Given\::}}}}$

If x = 1/2 is a zero of the polynomial f(x) = 8x³ + ax² - 4x + 2.

$\underline{\bf{To\:find\::}}}}$

The value of a.

$\underline{\bf{Explanation\::}}}}$

We have f(1/2)

Zero of the polynomial f(x) = 0

A/q

$\longrightarrow\sf{8\bigg(\dfrac{1}{2} \bigg)^{3} +a\bigg(\dfrac{1}{2} \bigg)^{2} -4\times \dfrac{1}{2} +2=0}\\\\\\\longrightarrow\sf{\cancel{8\times \dfrac{1}{8}} +a\times \dfrac{1}{4} -\dfrac{4}{2} +2=0}\\\\\\\longrightarrow\sf{1+\dfrac{a}{4} -\cancel{\dfrac{4}{2}} +2=0}\\\\\\\longrightarrow\sf{1+\dfrac{a-8}{4} +2=0}\\\\\\\longrightarrow\sf{4+a\cancel{-8+8}=0\:\:\underbrace{\sf{Cross-multiplication}}}\\\\\\\longrightarrow\sf{4+a=0}\\\\\\\longrightarrow\sf{a=0-4}$

$\longrightarrow\bf{a=-4}$

Thus;

The value of a will be -4 .