Question

I need answer for 4th q plz

Answer 1

The Given Polynomial Equation Is
f(x)=x^3-6x^2+3x+10
and Also Given Zeros Of Polynomials Are a, a+b And a+2b
By Guessing Method We Check -1 Satisfied The Given Condition That Means f(x)=0
Then Reduce The Polynomial Equation
By Using Division Method
That Reduced Equation Is x^2-7x+10
Then The Roots Of The Above Equation Is
x^2-7x+10=0 =>x^2-2x-5x+10=0
x(x-2) -5(x-2) =0
(x-2) (x-5) =0
Roots Are 2 And 5
Then
a=-1,a+b=2 And a+2b=5
Now Put a=-1 In a+b=2
then b=3
The Required Value Of a and b are -1 and 3
and The Required Roots Of Zeros Of Polynomial Are -1,2 And 5