SOLUTION: What is the expression of lowest degree by which {{{ (2*x^2-3*x-9) }}}{{{ (x^2-8*x+16) }}} must be multiplied to give a perfect square?

SOLUTION: What is the expression of lowest degree by which {{{ (2x^2-3x-9) }}}{{{ (x^2-8*x+16) }}} must be multiplied to give a perfect square?

Question 775397: What is the expression of lowest degree by which must be multiplied to give a perfect square?
Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!




It factors as

(x-3)(2x+3)(x-4)(x-4)

To make the entire expression a perfect square it 
needs to have two of each factor, so it needs to 
be multiplied by (x-3)(2x+3)= 

2x�-3x-9,

then it will be

(x-3)�(2x+3)�(x-4)�

Edwin

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