Question

factorize the polynomial x²+48x+225

Answer 1

For factorizing this polynomial we have to split the middle term.
=x²+48x+225
=x2+(45+3)x+225
=x2+45x+3x+225
=(x2+45x)+(3x+225)
=x(x+45)+3(x+45)
=(x+45)(x+3)

Hence, factorised.