\(b,5x^2+8x+3=5x^2+5x+3x+3\)
\(=5x\left(x+1\right)+3\left(x+1\right)=\left(x+1\right)\left(5x+3\right)\)
\(c,x^2-x-6=x^2+2x-3x-6\)
\(=x\left(x+2\right)-3\left(x+2\right)=\left(x+2\right)\left(x-3\right)\)
\(d,x^2+2x-15=x^2+5x-3x-15\)
\(=x\left(x+5\right)-3\left(x+5\right)=\left(x+5\right)\left(x-3\right)\)