5.Factor completely the polynomial 3xy – 24x4y. + E a. 3xy (1 – 2x) (1 + 2x + 4x) b. 3xy (1 – 2x) (1 + 2x - 4x2) C. 3xy (1 – 2x) (1 + 2x + 4x2) d. 3xy (1 – 2x) (1 - 2x - 4x2)
( proper answers please and a solution thank you! (≧▽≦) )
improper answer: **report**
( proper answers please and a solution thank you! (≧▽≦) )
improper answer: **report**
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PROBLEM
Factor completely the polynomial 3xy – 24x4y.
SOLUTION
STEP 1: Factor out
STEP 2: Consider xy – 8x⁴y. Factor out xy.
STEP 3: Consider 1 - 8x³. By Rational Root Theorem, all rational roots of a polynomial are in the form
where p divides the constant term 1 and q divides the leading coefficient -8. One such root is 
Factor the polynomial by dividing it by 2x - 1.
STEP 4: Rewrite the complete factored expression. Polynomial -4x²-2x-1 is not factored since it does not have any rational roots.
ANSWER
Therefore, the answer is option D. 3xy (1-2x)(1-2x-4x²)