Is x-3 a factor of the polynomial p(x)=2x4-9x3+15x2-22x+12 and for waht reason

(x - 3) is a factor of polynomial function p(x).

Step-by-step explanation:

If (x - 3) is a factor of the polynomial function

p(x) =

Then x = 3 will be one of the zeros of this polynomial function and by plug-in the value of x, function p(x) will be zero.

p(3) =

      = 2×81 - 9×27 + 15×9 - 66 + 12

      = 162 - 243 + 135 - 66 + 12

      = 0

Therefore, (x - 3) is a factor of polynomial function p(x).

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).