Which statement explains why the polynomial cannot be factored using the binomial theorem? X3 – 4x2 + 16x – 64 The signs do not follow the right pattern. The first and last terms are not perfect cubes. The exponents on each term do not follow the pattern for a binomial expansion. The middle terms do not take into account the coefficients from Pascal's triangle.

Astudent is determining the influence of different types of food on the growth rate of spiders. she feeds one group of spiders two caterpillars twice a week. the other group received similarly-sized beetles twice a week. she records the amount of time required for individuals to reach sexual maturity. her hypothesis is that the spiders feeding on caterpillars will have a faster growth rate because caterpillars have a higher protein content compared to beetles. in this experiment, what is the dependent variable? spiders assigned to different feeding groups. time required to reach sexual maturity number of prey items fed twice a week. growth rates of each group.