Common factor in quadratic polynomials x2+8x+15 and x2+3x−10 is
Given x2+8x+15
=x2+5x+3x+15
=x(x+5)+3(x+5)
=(x+5)(x+3)
Similar way, x2+3x−10
=x2+(5−2)x−10
=x2+5x−2x−10
=x(x+5)−2(x+5)
=(x+5)(x−2)
Hence, the common factor in quadratic polynomials x2+8x+15 and x2+3x−10 is (x+5).