Algebra
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1) Find the quotient,q(x), and the remainder,r(x), when 3x^3+9x^2-16x-51 is divided by x^2+5x+7.
q(x)=
r(x)=
2) Solve: x^3-1/2x^2+4/3=11/3x^2-2/3x+4/3
The smallest zero is ________
The largest zero is _________
3) Given that 3x-2 is a factor of 3x^3-2x^2-15x+10, select all of the following that are real solutions of the equation 3x^3-2x^2-15x+10=0.
a)x=2
b)x=sqrt(5)
c)x=-2/3
d)x=1
e)x=-sqrt(5)
d)x=2/3
e)x=5
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Solution Summary
This solution is comprised of detailed step-by-step calculations and analysis of the given problems and provides students with a clear perspective of the underlying concepts.
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Problem1:
Find the quotient, q(x), and the remainder, r(x), when 3x^3+9x^2-16x-51 is divided by x^2+5x+7.
Solution:
q(x)= 3x-6
r(x)= -7x-9
Problem2:
Solve: x^3-1/2x^2+4/3=11/3x^2-2/3x+4/3
The smallest zero is ________
The largest zero is ...
Purchase this Solution
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