Question

Lana uses factoring by grouping to factor the polynomial 8x2y−10xy2+12x−15y. Her work follows, but the last two lines of work are missing.

Which answers correctly fill in the blanks?

Select two answers: one for blank 1 and one for blank 2.

Answer 1

Blank 1: 2xy(4x-5)=3(4x-5)

Blank 2: (2xy+3)(4x-5)

Explanation:

The first step in factoring this polynomial is to find the biggest common factor in both numbers inside the parenthesis, and the second step is to find the biggest common factor of the 2 addents.

The other steps are invalid, either because they don't respect positive or negative signs, or that they just factor it wrong completely.

The only correct answer are:

Blank 1: 2xy(4x-5)=3(4x-5)

Blank 2: (2xy+3)(4x-5)