Question

if f(x) is a quadratic polynomial with f(2)=10&f(-2)=-2 then coefficient of x in f(x) is

Answer 1

Hey there!
Praneeth from Brainly.in here to help!

Let f(x) =ax²+bx+c=0

here
➤ a is the x² coefficient

➤ b is the x- coefficient

➤ c is the constant

To get f(2) substitute the value of 2 in place of x
➫f(2)=a(2)²+b(2)+c=10
➫ f(2)=4a+2b+c=10
To get f(-2) substitute the value of -2 in place of x
➫f(-2)=a(-2)²+b(-2)+c=-2
➫ f(-2)=4a-2b+c=-2

Subtracting f(-2) from f(2)

➫ 4a+2b+c-4a+2b-c =10-(-2)

➫( 4a-4a)+(2b+2b)+(c-c)=12

➫ 0+4b+0=12

➫ 4b=12

➫b =3

Therefore x coefficient is 3

hope helped!!

Answer 2

Step-by-step explanation:

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