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

**When multiplying two binomials, use the FOIL method, which has the same result as the distributive property with respect to 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}

**D.) 2x³ + 8x² + 3x + 12**

**- Algebra House**