Question

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

Answer 1

Step-by-step explanation:

Given Using the distributive property, Marta multiplied the binomial (2x + 3) by the trinomial (x^2 + x – 2)

• Marta multiplied the binomial by trinomial that is (2x + 3) (x^2 + x – 2)
• Now by using distributive property we get
• (2x) x^2 + (2x)x + (2x)(-2) + 3(x^2) + 3(x) + 3 (-2)
• So we get
• 2x^3 + 2x^2 – 4x + 3x^2 + 3x – 6
• Now we get
• 2x^3 + 5x^2 – x – 6

Therefore we get the product as 2x^3 + 5x^2 – x – 6

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Answer 2

Answer:

C

Step-by-step explanation:

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