Please help with math?

Please help with math?



1) Use complete sentences to explain how the Remainder Theorem can be used to find f(-2) if f(x)=x^4-3x^3+2x^2+7x+5 

2)What advantage is there to using the Remainder Theorem in the situation in Question 1, rather than evaluating f(-2) directly? Use complete sentences. 

3) Use complete sentences and proper grammar to explain how to use the Factor Theorem to determine if x-1 is a factor of x^3-2x^2-11x+12 

4) you know that -2 is a zero of f(x)=x^3+7x^2+4x-12 explain how to solve the equation x^3+7x^2+4x-12=0 

5) Show all work to use the Factor Theorem to determine whether x-2 is a factor of f(x)=3x^4-6x^3-5x+10





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