Question

Factor completely.x2 + 3xy - 4y2 - 5y + 5x

Answer 1

Answer: We have to factor the polynomial completely, the polynomial is:

$x^2+3xy-4y^2-5y+5x$

The factorized answer is:

$\begin{gathered} x^2+3xy-4y^2-5y+5x\rightarrow(1) \\ \\ \\ \text{ Rewriting \lparen1\rparen gives:} \\ \\ \\ x^2-xy+4yx-4y^2+5x-5y \\ \\ \text{ Factoring out the common factors gives:} \\ \\ x(x-y)+4y(x-y)+5(x-y) \\ \\ \text{ The last step is to factor out the }(x-y): \\ \\ (x-y)(x+4y+5)\Rightarrow(2) \end{gathered}$

The final answer is option(d) because (2) matches this option.