Find all the zeros of each equation x^5-3x^4-15x^3+45x^2-16x+48=0

The zeros of the equation are

Further explanation:

The Fundamental Theorem of Algebra states that the polynomial has n roots if the degree of the polynomial is n.

The polynomial function has n roots or zeroes.

Given:

The polynomial function is .

Explanation:

The polynomial function has five zeroes as the degree of the polynomial is 5.

Solve the equation to obtain the zeroes.

The first zero of the equation can be calculated as follows,

Now solve the equation -16 to obtain the remaining zeros.

Substitute -16 equal to zero to obtain the zeroes.

There zeroes are 4 and -4.

Now substitute +1 equal to zero to obtain the zeros.

Hence, the zeros of the equation are

Learn more:

1. Learn more about inverse of the function link.

2. Learn more about equation of circle link.

3. Learn more about range and domain of the function link

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Polynomials

Keywords: quadratic equation, equation factorization. Factorized form, polynomial, quadratic formula, zeroes, Fundamental Theorem of algebra, polynomial, six roots.