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

A.) 2x³ + 12

B.) 2x² + 11x + 12

C.) 2x³ + 6x² + 4x + 12

D.) 2x³ + 8x² + 3x + 12

**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**

**Ask Algebra House**