Question 1017832: CAN SOMEONE PLEASE ANSWER THIS QUESTIONS FOR ME, ITS FOR AN ASSIGNMENT:
1. Ian factored 12x3y3 – 24x2y3 into 6xy(2x2y2 – 4xy2).
a. Verify that Ian’s factorization is correct, using multiplication.
b. Ian’s factorization is not considered ‘complete’. Explain why.
c. Show the complete factorization of 12x3y3 – 24x2y3.
2.The area of a rectangle is 2x2 – 7x – 15. Determine binomials that represent the length and width of this rectangle.
3. Huan claims that the difference of squares method of factoring can be used even when the values aren’t perfect squares. An example of his thinking is shown.
a) Verify that Huan’s factorization is correct, using binomial multiplication.
b.Use Huan’s strategy to factor 10 – 3x2.
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! Multiply 6xy(2x2y2 – 4y2)=12x^3y^3-24x^2y^3
It is not complete, because a 12 could have been factored out and an x^2 and a y^3
12x^2*y^3(x-2)
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(2x+3)(x-5) are the factors.
The length would be the first, because for any positive x the first factor is greater than the second.
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(sqrt(10)+sqrt(3(x)* (sqrt(10)-sqrt (3)x)
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