How do you factor #4x^2 + 5xy + 16x + 20y#?

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Answer 1 · 2015-05-23T23:59:32

4-term polynomials like this need to be factored first as two binomials.

#4x^2 + 5xy + 16x + 20y#

#(4x^2 + 5xy) + (16x + 20y)#

'X' can be factored from the left side and 4 can be factored from the right side.

#x(4x+5y) + 4(4x+5y)#

According to the converse of the distributive property, I can combine these two terms.

#(x+4)(4x+5y)#

Final Answer