Question

The value of the polynomial f x is equal to 2 x cube + 3 x square - 11 x + 61 x is equal to 1 in a brainly

Answer 1

Answer:

2 {x}^{3} + 3 {x}^{2}   - 11x - 6 = 0

Substitute x=2=>

2.{2}^{3}   +  3. {2}^{2}  - 11(2) - 6 =0

=> 16+12-22-6=0.

When we divide the polynomial by (x-2)

=> we get

2 {x}^{2}  - 7x + 3 = 0

=>

2 {x}^{2}  - 6x - x + 3 = 0

=>

2x(x - 3) - 1(x - 3) = 0

=>

other roots are 1/2 and 3. The roots of the polynomial are 2,1/2 and 3 .Hope it helps you...