Question

Find the product of (x2 + 2x −3)(4x2 − 5x + 6).
a.4x4 + 13x3 − 16x2 + 27x − 18
b.4x4 + 3x3 − 28x2 + 27x − 18
c.4x4 + 3x3 − 16x2 + 3x − 18
d.4x4 + 3x3 − 16x2 + 27x − 18

Answer 1

we have to distribute every one of the numbers in the first parenthesis by every number in the second parenthesis.

(x^2 + 2x - 3)(4x^2 - 5x + 6)

x^2(4x^2 - 5x + 6)
4x^4 - 5x^3 + 6x^2

now the 2nd number
2x(4x^2 - 5x + 6)
8x^3 - 10x^2 + 12x

now the 3rd number
-3(4x^2 - 5x + 6)
-12x^2 + 15x - 18

now put them all together
4x^4 - 5x^3 + 6x^2 + 8x^3 - 10x^2 + 12x - 12x^2 + 15x - 18
combine like terms
4x^4 + 3x^3 - 16x^2 + 27x - 18 <== your answer

Answer 2

Use the grid method: