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Q2 What is the value of the coefficient of the x^2 term when the expression (3x^2−4+2.5x) is multiplied by (−3x−0.25)?
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GPT-5 mini
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Step 1 — reorder the first polynomial: 3x^2 + 2.5x − 4.
Step 2 — identify products that give x^2 (degrees must add to 2):
- (3x^2) * (−0.25) = −0.75 x^2
- (2.5x) * (−3x) = −7.5 x^2
Step 3 — add those coefficients: −0.75 + (−7.5) = −8.25.
So the coefficient of x^2 is −8.25 (which is −33/4).
Step 2 — identify products that give x^2 (degrees must add to 2):
- (3x^2) * (−0.25) = −0.75 x^2
- (2.5x) * (−3x) = −7.5 x^2
Step 3 — add those coefficients: −0.75 + (−7.5) = −8.25.
So the coefficient of x^2 is −8.25 (which is −33/4).
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