Question

6. Verify that (x - 1), (1-2) and (2x+1) are factors of the polynomial 2x^3-5x^2+X+2​

Answer 1

Step-by-step explanation:

x-1=0

X=1

p(1)=2(1)^3-5(1)^2+1+2

p(1)=2-5+1+2

p(1)=0

2x+1=0

x=-1/2

p(-1/2)=2(-1/2)^3-5(-1/2)^2+(-1/2)+2

p(-1/2)=-1/4-5/4-1/2+2

p(-1/2)=-6/4+2/4+8/4

p(-1/2)=4/4=1