SOLUTION: Consider the polynomial P(x), shown in both standard form and factored form. P(x)=1x4 −3x3 −3x2 +19x+6=1(x+3)(x+1)(x−2)(x−5) a. State the zeros of the f

Algebra ->  Finance -> SOLUTION: Consider the polynomial P(x), shown in both standard form and factored form. P(x)=1x4 −3x3 −3x2 +19x+6=1(x+3)(x+1)(x−2)(x−5) a. State the zeros of the f      Log On


   



Question 1023486: Consider the polynomial P(x), shown in both standard form and factored form.
P(x)=1x4 −3x3 −3x2 +19x+6=1(x+3)(x+1)(x−2)(x−5)
a. State the zeros of the function.
b. State the y-intercept.
c. graph

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Use simple qualitative knowledge about shape of polynomial functions. Increases toward the left toward negative infinity and increases toward the right toward positive infinity because degree is EVEN.

Zeros at -3, -1, 2, 5.
Decreasing at -3; increasing at -1; decreasing at 2; increasing at 5.

Do you understand that x-5 should NOT be a factor of P?
Recheck your synthetic divisions for factorization of P.