SOLUTION: express each polynomial equation as product of prime factors the roots using the zero-product property 1.(2x^2-5x-3)^2(9x^2-24x+16)^3(2x^2+13x+21)=0 2.(x^2+4x)^2(3x^2_17x-6)^2(4x

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: express each polynomial equation as product of prime factors the roots using the zero-product property 1.(2x^2-5x-3)^2(9x^2-24x+16)^3(2x^2+13x+21)=0 2.(x^2+4x)^2(3x^2_17x-6)^2(4x      Log On


   

Question 1170975: express each polynomial equation as product of prime factors the roots using the zero-product property
1.(2x^2-5x-3)^2(9x^2-24x+16)^3(2x^2+13x+21)=0
2.(x^2+4x)^2(3x^2_17x-6)^2(4x^2+9x-9)^3=0
please guide me here i need a complete solution
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

1.
%282x%5E2-5x-3%29%5E2%289x%5E2-24x%2B16%29%5E3%282x%5E2%2B13x%2B21%29=0
first factor %282x%5E2-5x-3%29%5E2

now factor %289x%5E2-24x%2B16%29%5E3

and factor
combine all together
%282x+%2B+1%29%5E2%2A%28x+-+3%29%5E2%2A%283+x+-+4%29%5E6%2A%28x+%2B+3%29+%282+x+%2B+7%29=0

2.
%28x%5E2%2B4x%29%5E2%283x%5E2-17x-6%29%5E2%284x%5E2%2B9x-9%29%5E3=0
factor%28x%5E2%2B4x%29%5E2=%28x%28x%2B4%29%29%5E2=x%5E2%28x%2B4%29%5E2
factor
factor
all together: