16Hit1600
Advanced MathEasyMonomial times a trinomial

Advanced Math practice question

Which expression is equivalent to 2x(x² − 3x + 4)?

  1. A. 2x³ − 6x² + 8xCorrect
  2. B. 2x³ − 3x + 4
  3. C. 2x² − 6x + 8
  4. 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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