To verify:
The function
Explanation of Solution
Definition:
The Remainder Theorem:
If a polynomial
Calculation:
Consider the provided function
Use the remainder theorem
Thus, the remainder is
Want to see more full solutions like this?
Chapter 2 Solutions
PRECALCULUS-WEBASSIGN EPIN K12 ACCESS
- Remainder Theorem Use synthetic division and the Remainder Theorem to evaluate P(c) . P(x)=x3x2+x+5,c=1arrow_forwardFinding a Polynomial with Specified Zeros Find apolynomial of the specified degree that has the given zeros. Degree 3; zeros -1, 1, 3arrow_forwardFinding a Polynomial with Specified Zeros Find a polynomial with integer coefficients that satisfies the given conditions. R has degree 4 and zeros 12i , and 1, with 1 a zero of multiplicity 2.arrow_forward
- Modeling Polynomials Sketch the graph of a fourth-degree polynomial function that has a zero of multiplicity 2 and a negative leading coefficient. Sketch the graph of another polynomial function with the same characteristics except that the leading coefficient is positive.arrow_forwardModeling Polynomials Sketch the graph of a fifth-degree polynomial function that has a zero of multiplicity 2and a negative leading coefficient. Sketch the graph of another polynomial function with the same characteristics except that the leading coefficient is positive.arrow_forwardFinding a Polynomial with Specified Zeros Find a polynomial with integer coefficients that satisfies the given conditions. U has degree 5, zeros 12,1 , and i , and leading coefficient 4, the zero -1 has multiplicity 2.arrow_forward
- College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningAlgebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
- Elementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage Learning