Question

find factor of 2x + x-1​

Answer 1

Answer:

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

Step-by-step explanation:

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-12x

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-12x

2

−x−1

By middle-term splitting method

2x^2-x-12x

2

−x−1

2x^2-2x+x-12x

2

−2x+x−1

2x(x-1)+1(x-1)2x(x−1)+1(x−1)

(2x+1)(x-1)(2x+1)(x−1)

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

Answer 2

$p(x)=2x + x - 1 \\\\p(-1)= 2 * -1 -1 - 1 = -2 - 1 -1 = 0\\\\there fore,\\\\-1 \ is\ a\ factor \ that \ is\ x + 1 \ is\ a\ factor$

hope it helps !!