Question

Find the product of (x2 + 4x − 3)(2x2 + x + 6)

Answer 1

`(x^2 + 4x-3)(2x^2 + x + 6)\\\\=(x^2)(2x^2)+(x^2)(x)+(x^2)(6)+(4x)(2x^2)+(4x)(x)+(4x)(6)\\-(3)(2x^2)-(3)(x)-(3)(6)\\\\=2x^4+x^3+6x^2+8x^3+4x^2+24x-6x^2-3x-18\\\\=\boxed{2x^4+9x^3+4x^2+21x-18}`