Question

polynomials p(x) = 2ax² - 4x+2 and g(x) = (5+a)x² - 4x+2 are equal to each other. Find the value of a.​

Answer 1

Answer:

Let p(x)=x

5

−4a

2

x

3

+2x+2a+3 and g(x)=x+2a

Now. g(x)=x+2a

x+2a=0

x=−2a

Now, if g(x) is a factor of p(x), then p(−2a) must be 0

Thus, p(−2a)=0

=>(−2a)

5

−4a

2

(−2a)

3

+2(−2a)+2a+3=0

=>−32a

5

+32a

5

−4a+2a+3=0

=>−2a+3=0

=>a=

2

3

Answer 2

Answer:

a= 5

Step-by-step explanation:

Given : p(x) = 2ax²-4x+2 and g(x) =  (5+a)x²- 4x + 2

and p(x)=g(x)

as p(x) = g(x)

2ax²-4x+2 = (5+a)x²- 4x + 2

2ax²-4x+2+4x-2 = (5+a)x²

2ax²  = (5+a)x²

2ax² / x² = (5+a)

2a = 5+a

2a - a = 5

a = 5