Math Problem Statement

Question content area top

Part 1

Let

f left parenthesis x right parenthesis equals 7 x cubed minus x squared minus 77 x plus 11f(x)=7x3−x2−77x+11.

​(a) Find the rational zeros and then the other​ zeros; that​ is, solve

​f(x)equals=0.

​(b) Factor​ f(x) into linear factors.

Question content area bottom

Part 1

​(a) Select the correct choice below and fill in the answer​ box(es) to complete your choice.

​(Simplify your answer. Type an integer or a fraction. Type an exact​ answer, using radicals as needed. Use a comma to separate answers as​ needed.)

A.

The function has only rational zeros. The zeros are at

xequals=enter your response here.

B.

The rational​ zero(s) is/are

enter your response here​,

and the other​ zero(s) is/are

enter your response here.

C.

The function has no rational zeros. The zeros are at

xequals=enter your response here.

Part 2

​(b) Written as the product of linear​ factors,

​f(x)equals=enter your response here.

​(Type an exact​ answer, using radicals as​ needed.)

Solution

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Polynomials
Cubic Equations
Factorization

Formulas

Rational Root Theorem
Cubic equation: ax^3 + bx^2 + cx + d = 0
Factorization of polynomials

Theorems

Rational Root Theorem

Suitable Grade Level

Grades 11-12