Summative Test 3

Which of the following is a factor of the $$P(x)=x^2+2x+1?$$  

Factor $$P(x)=x^4+x^3+x^2+x$$    

Which of the following is the factored form of $$x^3+5x^2-2x-24?$$  

What are the roots of the expression $$x^2+x-6?$$  

Calculate the product of the real roots of the $$P(x)=x^3+5x^2-x-5$$  

Find k so that (x-2) is a factor $$x^3+kx-4$$  

Identify the numerical coefficient of the third term when you expand   $$(x+1)^4$$  

Supposed $$P(x)=x^2+4x+3$$  and $$T(x)=x^2-2x-15$$ determine the greatest common factor of these polynomial expressions.

Completely factor: $$P(x)=2x^4-5x^3-8x^2+3x+18$$  

Is it possible to have real roots in the quadratic equation $$P(x)=x^2-4x+5?$$