# if x=2 and x=0 are roots of the polynomial f(x)= 2x^3 -5x^2+ax+b . find the value of a and b .

solution:  we have ,

$f(x)=2x^2-5x^2+ax+b$

$\therefore f(2)=2\times2^3-5\times2^2+a\times2+b=2a+b-4$

$f(0)=2\times0-5\times0+a\times0+b=b$

since $x=2$ and $x=0$ are roots of the polynomial $f(x)$

$\therefore f(2)=0$   and   $f(0)=0$

$\Rightarrow 2a+b-4=0$    and   $b=0$

$\Rightarrow 2a-4=0$ and $b=0$     $\Rightarrow a=2$   and   $b=0$

## Most Viewed Questions

### Preparation Products

##### Knockout JEE Main (Six Month Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Study Improvement Plan.

₹ 9999/- ₹ 8499/-
##### Knockout JEE Main (Nine Month Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Study Improvement Plan.

₹ 13999/- ₹ 12499/-
##### Knockout NEET (Six Month Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Study Improvement Plan.

₹ 9999/- ₹ 8499/-
##### Knockout NEET (Nine Month Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Study Improvement Plan.

₹ 13999/- ₹ 12499/-