Question

if (x-2) is a factor of x²-3x+5a then value of a is​

Answer 1

Answer:

a = 0.4

Step-by-step explanation:

We must use remainder theorem to substitute (x - 2) in the polynomial and find the remainder when the polynomial is divided by (x - 2.)

So,

x - 2 = 0

x = 2

p(x) = x² - 3x + 5a

p(2) = 2² - (3 × 2) + 5a

p(2) = -2 + 5a

We know that the remainder has to be zero, since (x - 2) is a factor.

So,

-2 + 5a = 0

5a = 2

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

a = 0.4

I hope this helps!!

Regards,

Lilac584