Using the distributive property, Marta multiplied the binomial (2x + 3) by the trinomial (x2 + x - 2) and got the expression below.

(2x) (x2) + (2x) (x) + (2x) (-2) + (3) (x2) + (3) (x) + (3) (-2)

Which is the simplified product?

2x3 + 6x2 - x - 6

2x3 + x2 - x - 6

2x3 + 5x2 - x - 6

2x3 - x2 - 7x - 6

Question

Donald Mayer

Mathematics

12 August, 11:59

Using the distributive property, Marta multiplied the binomial (2x + 3) by the trinomial (x2 + x - 2) and got the expression below.

(2x) (x2) + (2x) (x) + (2x) (-2) + (3) (x2) + (3) (x) + (3) (-2)

Which is the simplified product?

2x3 + 6x2 - x - 6

2x3 + x2 - x - 6

2x3 + 5x2 - x - 6

2x3 - x2 - 7x - 6

+4

Answers (1)

Know the Answer?

Lorelai Colon · Answer 1

(2x) (x2) + (2x) (x) + (2x) (-2) + (3) (x2) + (3) (x) + (3) (-2)

1. Expand Brackets

= 2x^3 + 2x^2 - 4x + 3x^2 + 3x - 6

2. Group the like terms

= 2x^3 + 5x^2 - x - 6

Therefore the answer is C = 2x3 + 5x2 - x - 6

Using the distributive property, Marta multiplied the binomial (2x + 3) by the trinomial (x2 + x - 2) and got the expression below.(2x) (x2) + (2x) (x) + (2x) (-2) + (3) (x2) + (3) (x) + (3) (-2)Which is the simplified product?2x3 + 6x2 - x - 62x3 + x2 - x - 62x3 + 5x2 - x - 62x3 - x2 - 7x - 6