Advanced MathEasyMonomial times a trinomial
Advanced Math practice question
Which expression is equivalent to 2x(x² − 3x + 4)?
- A. 2x³ − 6x² + 8xCorrect
- B. 2x³ − 3x + 4
- C. 2x² − 6x + 8
- D. 2x³ − 6x² + 4
Answer: A. 2x³ − 6x² + 8x
Multiply 2x by each term: 2x · x² = 2x³, 2x · (−3x) = −6x², 2x · 4 = 8x.
Why the other answers are wrong
- B. 2x³ − 3x + 4
- Only the first term was multiplied by 2x. Every term inside the bracket gets it.
- C. 2x² − 6x + 8
- The x in 2x was dropped: 2x · x² is 2x³, not 2x².
- D. 2x³ − 6x² + 4
- The last term wasn't multiplied by the x: 2x · 4 = 8x, not 4.
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