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

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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

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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
Use the grid method: |dw:1433775920068:dw|
so the answer is c?

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@HelloKitty17 If you'd like to understand how to find the product, complete the grid and you'll get the correct answer. If you want just the answer, read through what @OregonDuck spent his/her valuable time to write, and you'll find the answer somewhere.

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