SOLUTION: consider the polynomial p(x), shown in both standard form and factored form. P(x)=1/10 X^4+9/10 X^3+19/10 x^3+19/10 x^2-9/10 x-2=1/10 (x+5)(x+4)(x+1)(x-1) a. which sketch illus

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: consider the polynomial p(x), shown in both standard form and factored form. P(x)=1/10 X^4+9/10 X^3+19/10 x^3+19/10 x^2-9/10 x-2=1/10 (x+5)(x+4)(x+1)(x-1) a. which sketch illus      Log On


   



Question 1116636: consider the polynomial p(x), shown in both standard form and factored form.
P(x)=1/10 X^4+9/10 X^3+19/10 x^3+19/10 x^2-9/10 x-2=1/10 (x+5)(x+4)(x+1)(x-1)
a. which sketch illustrates the end behavior of the polynomial function?
b. state the zeros of the function
c. state the y-intercept
d. state the graph of p(x)

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The lead coefficient is positive and the polynomial is of even degree, hence the value of the function increases without bound on either end.

The zeros are the four numbers that would make each of the factors in the factored form equal to zero.

The -intercept is the point where is the constant term of the standard form.

.
John

My calculator said it, I believe it, that settles it