Thursday
April 17, 2014

Homework Help: Algebra

Posted by kevin on Monday, November 26, 2012 at 7:36am.

Have a couple questions was wondering if someone could check my work?

1. What are the real or imaginery solutions of the polynomial equation?
x^4-41x^2=-400

(x^2-25)(x^2-16)
x^2=25 or x=+-5
x^2=16 or x=+-4

2. Use synthetic division to find P(-3) for P(x)=x^2-2x^3-4x+4

this one I did not know how to do if someone could help

3. Find all the zeros of the eqution
x^4-6x^2-7x-6=0

messed this one up if someone could explain

4. Use Pascals Triangle to expand the binomial (d-5)^6

1d^5(-5)^0+6d^5(-5)^1+15d^4(-5)^2+20d^3(-5)^3+15d^2(-5)^4+6d^1(-5)^5+1d^0(-5)^6

d^6-30d^5+375d^4-2500d^3+9875d^2-18750d+15625

5. What is the equation of y=x^3 with the given transformation?
vertical compression by a factor of 1/7, horizontal shift 8 units to the left, reflection across the x-axis.

y=x^3
y=(1/7)x^3
y=(1/7)(x+8)^3
-y=(1/7)(x+8)^3
y=(-1/7)(x+8)^3

6. What are all the real zeroes y=(x-12)^3-7

do not understand this one either if someone wants to explain.

Thank you in advance for any help someone can give

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