4. Let f(x) = 3x3 – 4x – 1 and g(x) = x + 1. Find 5. Let f(x) = x4 – 8x3 + 16x2 – 19 and g(x) = x – 5. Find 6. Create your own third degree polynomial that when divided by x + 2 has a remainder of –4. 7. Create your own division of polynomials problem. Demonstrate how this problem would be solved using both long division and synthetic division.
wats ur question ?????
and for # 4 & 5 were looking to find F(X)/G(X)
4. \[F(x)=\int\limits\limits_{}^{}f(x)dx\] \[F(x)=(3/4)x ^{4}-2x ^{2}-x+C\] \[G(x)=\int\limits\limits\limits_{}^{}g(x)dx\] \[G(x)=(1/5)x^{5}-2x^{4}-(16/3)x^{3}-19x+C\] \[F(x)/G(x)=((3/4)x ^{4}-2x ^{2}-x+C)/((1/5)x^{5}-2x^{4}-(16/3)x^{3}-19x+C)\]
you can solve #5 similarly
6. \[(2x ^{3}+2x ^{2}+2x-8)\div(x/2)\]has a remainder of -4 if you didn't mean to say "divided by x + 2" and you meant to say "divided by x-2", then \[x^3+2 x^2-5 x-10\] when divided by "x-2" has a remainder of -4
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