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Find the product of (x2 + 4x _ 3)(2x2 + x + 6).
2x4 + 9x3 + 4x2 + 21x _ 18

2x4 + 9x3 + 10x2 + 21x _ 18

2x4 + 7x3 + 4x2 + 21x _ 18

2x4 + 9x3 + 4x2 + 27x _ 18

Answer :

Correct answer is A.

[tex](x^2+4x-3)(2x^2+x+6) \\=x^2(2x^2+x+6)+4x(2x^2+x+6)-3(2x^2+x+6) \\=2x^4+x^3+6x^2+8x^3+4x^2+24x-6x^2-3x-18 \\=2x^4+x^3+8x^3+6x^2+4x^2-6x^2+24x-3x-18 \\=2x^4+9x^3+4x^2+21x-18[/tex]

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