The zeroes of the function are . Multiplicity of is , multiplicity of is and the multiplicity of is .
Further explanation:
The given polynomial is .
The above polynomial is a biquadratic polynomial.
Consider the given polynomial as follows:
The polynomial is a polynomial of degree .
To find the zeroes of polynomial equate this polynomial to 0.
Factorize the polynomial by taking common term , since is the only lowest term in above polynomial with power .
Factorize the polynomial as follows:
Now, factorize the quadratic term as follows:
Substitute in the polynomial as shown below:
Now, from zero-product property the zeroes of the polynomial are shown below:
Here, is a zero of multiplicity , since the power of is .
Since, the degree of the polynomial is , therefore, there will be solution to this polynomial.
Thus, the zeroes of the function are with having multiplicity of and both and have multiplicity of .
Learn more:
1. Learn more about numbers brainly.com/question/4736384
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Answer details:
Grade: High school
Subject: Mathematics
Chapter: Polynomial
Keywords: Zeroes, function, multiplicity, x^4-4x^3+3x^2, degree, highest power, polynomial, quadratic, equation, zero-product property, factorization, biquadratic expression.