Question

Find (a) if (x-3) is a factor of f(x)=2x³-4ax +a

Answer 1

Answer:

➡️

$a = \frac{54}{11} .$

Step-by-step explanation:

let p(x) = 0.

Given that :- (x - 3) is a factor of given p(x).

so; x = 3

put the value of x = 3, we get;

$2 {(3)}^{3} - 4 \times a \times (3) + a = 0 \\ \\ 54 - 12a + a = 0 \\ \\ - 11a = - 54 \\ a = \frac{ - 54}{ - 11} \\ \\ a = \frac{54}{11} .$

Answer 2

$a = \frac{54}{11}$

Explanation:

Given,

Let ,

P(x)=0

X-3 is a factor of given P(x)

so

X =3

$2 {(3)}^{3} - 4 \times a \times 3 + a = 0$

$54 + 12a + a = 0$

$- 11a = - 54a$

$a = \frac{54}{11}$