Triangle J K L is cut by line M N. Line segment M N is drawn from side J K to side L K. Sides J L and M N are parallel.

Based on the side-splitter theorem, which side length would complete the proportion?

StartFraction J M Over M K = StartFraction L N Over question mark EndFraction

JL

KL

NK

NM

What signals you that factoring by grouping is the best method to use when factoring a problem?

Trent wants to buy 2 packs of trading cards for 3 dollars each. the trading card packs that trent normally buys tend to come in packs of 6, 10, 12, or 15 cards. after selecting 2 packs, trent found that the first pack of cards cost 25 cents per card, and the second pack cost 30 cents per card. trent uses this information to write the equations below in order to compare c, the number of cards in each pack.

Factor the polynomial 4x4 – 20x2 – 3x2 + 15 by grouping. what is the resulting expression? (4x2 + 3)(x2 – 5) (4x2 – 3)(x2 – 5) (4x2 – 5)(x2 + 3) (4x2 + 5)(x2 – 3)