Multiplying binomials

Which expression is equivalent to (2x² + 3)(x + 4) ?
A.)  2x³ + 12
B.)  2x² + 11x + 12
C.)  2x³ + 6x² + 4x + 12
D.)  2x³ + 8x² + 3x + 12

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Use the distributive property or FOIL method, which create the same result when multiplying two binomials.

(2x² + 3)(x + 4) 
= 2x²(x) + 2x²(4) + 3(x) + 3(4)   {used FOIL method / distributive property}
= 2x³ + 8x² + 3x + 12   {multiplied through, adding exponents on same base, when multiplying}

D.)  2x³ + 8x² + 3x + 12   

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