SOLUTION: identify the roots of each equation and state the multipilcity of each root. -3x3-21x2+72x+540

Question 243995: identify the roots of each equation and state the multipilcity of each root.
-3x3-21x2+72x+540
Answer by unlockmath(1688) (Show Source): You can put this solution on YOUR website!
Hello,
I want to make sure you copied the problem correctly. The last number 540 in -3x3-21x2+72x+540 shouldn't it be 504? I'm going to assume it is 504. (Note: since it's an equation we'll set it to equal 0)
-3x3-21x2+72x+504=0
First we do this: The first two terms can be rewritten as well as the last two.
-3x^2(x+7)+ 72(x+7)
Notice the (x+7) being the same so we can rewrite it as:
(-3x^2+72)(x+7) the first parenthesis can be rewritten as:
-3(x^2-24)(x+7) Now we can solve for x:
x=-7
x=sq rt 24 or 2sq rt 6
Plug these into the original equation and it works out.
RJ Toftness
www.math-unlock.com

RELATED QUESTIONS
Identify the roots of -3x^3 - 21x^2 + 72x + 540 = 0. State the multiplicity of each root. (answered by scott8148)

I have several questions I don't understand and need answered. 1. Identify the roots... (answered by Alan3354)

Solve each equation. State the number and type of roots. 4.... (answered by jim_thompson5910)

Could you please assist me with this problem? The directions are: solve each equation.... (answered by TimothyLamb)

Identify the roots of the equation and state its multiplicity. x^6 - 12x^4 + 48x^2 -... (answered by josgarithmetic,ikleyn)

I have a question that states: find the roots of the polynomial equation, and state the... (answered by scianci)

square root of 72x minus the square root of... (answered by Fombitz)

what is the square root of 2x^2 + 3 square root 72x^2 + 7 square root of... (answered by ewatrrr)

simplify: the square root of... (answered by stanbon)