f)\(x^2-5x-14=x^2-7x+2x-14=x\left(x-7\right)+2\left(x-7\right)=\left(x-7\right)\left(x+2\right)\)
i)\(x^2-7x+10=x^2-2x-5x+10=x\left(x-2\right)-5\left(x-2\right)=\left(x-5\right)\left(x-2\right)\)
h)\(x^2-7x+12=x^2-3x-4x+12=x\left(x-3\right)-4\left(x-3\right)=\left(x-4\right)\left(x-3\right)\)
g)\(x^2+6x+5=x^2+x+5x+5=x\left(x+1\right)+5\left(x+1\right)=\left(x+1\right)\left(x+5\right)\)
f)\(x^2-5x-14=x^2-7x+2x-14\)
\(=\left(x+2\right)\left(x-7\right)\)
i)\(x^2-7x+10=x^2-5x-2x+10\)
\(=\left(x-2\right)\left(x-5\right)\)
h)\(x^2-7x+12=x^2-4x-3x+12\)
\(=\left(x-3\right)\left(x-4\right)\)
g)\(x^2+6x+5=x^2+x+5x+5\)
\(=\left(x+5\right)\left(x+1\right)\)
f) \(x^2-5x-14\)
\(=x^2-7x+2x-14\)
\(=\left(x^2-7x\right)+\left(2x-14\right)\)
\(=x\left(x-7\right)+2\left(x-7\right)\)
\(=\left(x+2\right)\left(x-7\right)\)
i) \(x^2-7x+10\)
\(=x^2-5x-2x+10\)
\(=\left(x^2-5x\right)-\left(2x-10\right)\)
\(=x\left(x-5\right)-2\left(x-5\right)\)
\(=\left(x-2\right)\left(x-5\right)\)
h) \(x^2-7x+12\)
\(=x^2-3x-4x+12\)
\(=\left(x^2-3x\right)-\left(4x-12\right)\)
\(=x\left(x-3\right)-4\left(x-3\right)\)
\(=\left(x-4\right)\left(x-3\right)\)
g) \(x^2+6x+5\)
\(=x^2+x+5x+5\)
\(=\left(x^2+x\right)+\left(5x+5\right)\)
\(=x\left(x+1\right)+5\left(x+1\right)\)
\(=\left(x+5\right)\left(x+1\right)\)