Question

What is the factored form of the polynomial 27x2y – 43xy2?
xy(27x – 43y)
x2y2(27 – 43)
3xy(9x – 17y)
3x2y(9 – 14y)

Answer 1

Answer:

A

Step-by-step explanation:

Divide both sides by xy; there is no common factor between 27x and 43y so stop there

Answer 2

The factored form of the polynomial is 27x²y - 43xy² is xy(27x - 43y)

To factor the polynomial 27x²y - 43xy² we factor out the common factors.

The highest common factor is xy. So, writing it out in expanded form, we have

Factoring the polynomial

27x²y - 43xy² = 27 × x × x × y - 43 × x × y × y

Factoring out x × y from the equation, we have

27x²y - 43xy² =  x × y(27 × x  - 43 × y)

So, the resulting equation is

27x²y - 43xy² = xy(27x - 43y)

So, the factored form of the polynomial is 27x²y - 43xy² is xy(27x - 43y)

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