Question

Help quickly please! The root x = 1 has multiplicity 2 for the function f(x)=x^3-x^2-x+1. True or false

Answer 1

@ranga

Answer 2

x = 1 is a root means (x - 1) is a factor.
Do synthetic division by (x - 1) and find the quotient first.

Answer 3

I think that the answer is true

Answer 4

Yes. If you divide by (x-1) and then divide the quotient by (x-1) again you will get the remainder as 0 which means (x-1) is a factor twice. Therefore multiplicity of 2.

Answer 5

What about..The function f(x)=-3x^2+x^2+2x rises as x grows very large. true or false. I think false

Answer 6

False is correct. The leading coefficient is negative and it is a quadratic function which means it is a parabola that opens downwards. That implies the function decreases both for large positive or negative values of x.