Question

if the sum of the polynomials f(x)=ax²-bx+c and g(x)=3x²-2x-5 is h(x)=5x²-5x+1,find the value of a,b and c.​

Answer 1

Answer:

Hence a=8,b=-3 and c=-2

Step-by-step explanation:

f(x)=ax²-bx+c and g(x)=3x²-2x-5 is h(x)=5x²-5x+1

f(x) + g(x) =h(x)

ax²-bx+c +3x²-2x-5 =5x²-5x+1

(a+b)x²+(b-2)x+(c-b)=5x²-5x+1

On comparison of coefficient of x

b-2=-5

b=-5+2=-3

On comparison of coefficient of x²

(a+b)x²+(b-2)x+(c-b)=5x²-5x+1

a+b=5

a-3=5

a=5+3=8

On comparison of coefficient of constant

(a+b)x²+(b-2)x+(c-b)=5x²-5x+1

c-b=1

c-(-3)=1

c=1-3=-2

Hence a=8,b=-3 and c=-2