Question

if 2x+1 is one factor of polynomial 2x^2-x-1 then find the other factor

Answer 1

I hope it helps you...

Answer 2

Answer:

If the one factor is (2x+1) then the other factor is (x-1)

Step-by-step explanation:

$\text{Given the factor 2x+1 of the polynomial }2x^2-x-1$

we have to find the other factor of the polynomial.

$2x^2-x-1$

If one factor is 2x+1 then the other factor is calculated by dividing (2x+1) or just by factorise the above polynomial.

$2x^2-x-1$

By middle-term splitting method

$2x^2-x-1$

$2x^2-2x+x-1$

$2x(x-1)+1(x-1)$

$(2x+1)(x-1)$

If the one factor is (2x+1) then the other factor is (x-1)