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Fundamental Operations with Polynomials

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Solve the following questions involving fundamental operations on polynimials. Thank you

1)Find p(x)+4q(x)
p(x)=3x^5+70x^3-67x^2+3
q(x)=3x^3+56x^2-19

2)Find P(-1/2)if
P(x)=x^4+3x^2+2

3)Divide (6x^3-5x^2-13x+13)divided by (2x+3)=

4) Factor completely:
6x^2-28x+16
(2x-8)(3x-2)
(2x-8) I need to factor a bit more, but I'm not sure to what?

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Operations on polynomials are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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1) p(x)+4q(x)
= 3x^5+70x^3-67x^2+3 + 12x^3+224x^2-76
= 3x^5 + 82x^3 + 157x^2 - 73

2) ...

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