Question

Multiply: (x+3)(x2+2x+4)


Simplify and write your answer in Standard Form..

Answer 1

x³ + 5x² + 10x + 12

Explanation:

( x + 3 ) ( x² + 2x + 4 )

= [x ( x )² + x ( 2x ) + x ( 4 )] + [3 ( x² ) + 3 ( 2x ) + 3 ( 4 )]

= x³ + 2x² + 4x + 3x² + 6x + 12

= x³ + 2x² + 3x² + 4x + 6x + 12

= x³ + 5x² + 10x + 12

Hence, simplified.

Standard form of ( x + 3 ) ( x² + 2x + 4 ) is x³ + 5x² + 10x + 12.

Answer 2

x^3+5x^2 + 10x + 12

Explanation:

Multiply each term in the first expression by each term in the second expression and combine like terms.

Thus, the answer is x^3 + 5x^2 + 10x + 12