Question

Circle the first term in the trinomial, multiply it by each term in the binomial, and place each

result in the blank spaces provided. Repeat this process for the second and third terms of the
trinomial until all of the spaces are filled in. Finally, in the space provided beneath the blanks,
simplify the expression by combining like terms and arranging the terms from highest to
lowest order. Show your work. (4 points)
(3x2 - 2x + 7)(x2 + 2x)

Answer 1

3x^4 + 4x³+ 3x² + 14x

Explanation:

first term in the trinomial: 3x²

3x²*x² = 3x^4

3x²*2x = 6x³

second term in the trinomial: 2x

-2x*x² = -2x³

-2x*2x = -4x²

third term in the trinomial: 7

7*x² = 7x²

7*2x = 14x

Adding all terms, we get:

3x^4 + 6x³ - 2x³ - 4x² + 7x² + 14x

And ombining like terms:

3x^4 + 4x³+ 3x² + 14x