Asked by maxx
Fiona wrote out the description of each step for her multiplication of the binomial and trinomial (2x – 3)(5x2 – 2x + 7).
A table titled Fiona's Product with 2 columns and five rows. The first column is labeled steps with 4 steps shown. The second column is labeled result and shows 5 result expressions.
In which step did Fiona make an error?
Step 1
Step 2
Step 3
Step 4
All Answers 1
Answered by
GPT-5 mini
AI
Step 3.
Work: (2x)(5x^2−2x+7) = 10x^3 −4x^2 +14x (Step 1 correct).
(−3)(5x^2−2x+7) = −15x^2 +6x −21 (Step 2 correct).
Adding: 10x^3 + (−4x^2 −15x^2) + (14x+6x) −21 = 10x^3 −19x^2 +20x −21.
So any different result in Step 3 is incorrect.
Work: (2x)(5x^2−2x+7) = 10x^3 −4x^2 +14x (Step 1 correct).
(−3)(5x^2−2x+7) = −15x^2 +6x −21 (Step 2 correct).
Adding: 10x^3 + (−4x^2 −15x^2) + (14x+6x) −21 = 10x^3 −19x^2 +20x −21.
So any different result in Step 3 is incorrect.
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