What is the product of 2x - 5 and 3x2 + 5x - 7? Write your answer in standard form. Show your work. Is the product of 2x – 5 and
3x2 + 5x - 7equal to the product of 5x – 2 and 3x2 + 5x - 7? Explain your answer.
1 answer:
Answer:
a) 6x³ − 5x² − 39x + 35
b) no
Step-by-step explanation:
(2x − 5) (3x² + 5x − 7)
Distribute:
3x² (2x − 5) + 5x (2x − 5) − 7 (2x − 5)
Distribute again:
6x³ − 15x² + 10x² − 25x − 14x + 35
Combine like terms:
6x³ − 5x² − 39x + 35
5x − 2 is the opposite of 2x − 5, so you would get the negative of the answer from part (a).
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