Question

if (x-2) is a factor of polynomials x^2-3x+5a, find the value of a​

Answer 1

Answer:

Given that (x−2) is a factor of x

3

−3x+5a

⇒ Remainder =0

x

2

−x−2

(x−2))x

3

−3x+5a

x

3

−2x

2

____________

0−x

2

+5a

−x

2

+2x

____________

0−2x+5a

−2x+4

____________

+(5a−4)

____________

⇒x

3

−3x+5a=(x−2)(x

2

−x−2)+(5a−4)

Remainder =5a−4

but it should be zero for (x−2) to be a factor.

⇒5a−4=0

a=

5

4

(x−2) will be a factor if a=

5

4

.

Answer 2

Answer:

hope this helps

Step-by-step explanation:

i put a proof too to help you understand