Math Problem Statement

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Part 1

Find the zeros for the polynomial function and give the multiplicity for each zero. State whether the graph crosses the​ x-axis or touches the​ x-axis and turns around at each zero.

​f(x)equals x cubed plus 7 x squared minus 4 x minus 28

Solution

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Math Problem Analysis

Mathematical Concepts

Polynomials
Factoring
Zeros of Functions
Multiplicity
Graph Behavior

Formulas

Factoring by grouping
Difference of squares formula: a^2 - b^2 = (a - b)(a + b)

Theorems

Fundamental Theorem of Algebra
Multiplicity and Graph Behavior Theorem

Suitable Grade Level

Grades 9-12