Question

What is the product of x^2-2x+3 and x+1

Answer 1

x³ - x² + x + 3

Explanation:

`Use\ FOIL:\\\\(a+b)(c+d)=ac+ad+bc+bd\\-----------------------\\\\(x^2-2x+3)(x+1)=(x^2)(x)+(x^2)(1)+(-2x)(x)+(-2x)(1)+(3)(x)+(3)(1)\\\\=x^3+x^2-2x^2-2x+3x+3\\\\\text{combine like terms}\\\\=x^3+(x^2-2x^2)+(-2x+3x)+3\\\\=x^3-x^2+x+3`