Question

2x^2-3x-23x^2+x-24x^2-7x-24x^2+5x-64x^2+15x+93x^2+10x+35x^2+14x-3

Answer 1

\(2x^2-3x-2\)

\(=2x^2-4x+x-2\)

\(=2x\left(x-2\right)+\left(x-2\right)\)

\(=\left(x-2\right)\left(2x+1\right)\)

\(3x^2+x-2\)

\(=3x^2+3x-2x-2\)

\(=3x\left(x+1\right)-2\left(x-1\right)\)

\(=\left(x-1\right)\left(3x-2\right)\)

\(4x^2-7x-2\)

\(=4x^2-8x+x-2\)

\(=4x\left(x-2\right)+x-2\)

\(=\left(x-2\right)\left(4x+1\right)\)

Answer 2

\(4,4x^2+5x-6=4x^2+8x-3x-6\)

\(=4x\left(x+2\right)-3\left(x+2\right)=\left(4x-3\right)\left(x+2\right)\)

\(5,\) \(4x^2+15x+9=4x^2+12x+3x+9\)

\(=4x\left(x+3\right)+3\left(x+3\right)\)

\(=\left(4x+3\right)\left(x+3\right)\)