Math Problem Statement

Find the zero(s), the horizontal intercept(s) and vertical intercept of the polynomial function f(x)=3x3+5x2−9x−15f(x)=3x3+5x2-9x-15

The zero(s) is/are

The horizontal intercept(s) is/are

The vertical intercept is

Solution

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Math Problem Analysis

Mathematical Concepts

Polynomial functions
Zeros of functions
Intercepts
Cubic equations

Formulas

f(x) = 3x^3 + 5x^2 - 9x - 15
Set f(x) = 0 to find zeros
f(0) = -15 to find vertical intercept

Theorems

Rational Root Theorem
Synthetic Division

Suitable Grade Level

Grades 10-12