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Regents Exam Questions A.APR.B.3: Zeros of PolynomialsName: ___www.jmap.orgA.APR.B.3: Zeros of Polynomials 1 What are the zeros of f(x) (2x 4)(3x 4) ? 4 1) ,2 3 2) 4,4 4 3) 2, 3 4) 4,26 The zeros of the function f(x) 3x 2 3x 6 are 1) 1 and 2 2) 1 and 2 3) 1 and 2 4) 1 and 27 The zeros of the function f(x) (x 2) 2 25 are 1) 2 and 5 2) 3 and 7 3)
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How to fill out 3 zeros of polynomials

01
Identify the polynomial you want to find the zeros for.
02
Use factoring techniques, synthetic division, or the quadratic formula (if applicable) to find the roots of the polynomial.
03
Check for rational roots using the Rational Root Theorem, if necessary.
04
If employing numerical methods, use techniques such as Newton's method or the bisection method to approximate the zeros.
05
Verify your solutions by substituting them back into the original polynomial to ensure that they equal zero.

Who needs 3 zeros of polynomials?

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Students studying algebra or calculus.
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Mathematicians and researchers working on polynomial equations.
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Engineers and scientists involved in modeling and simulations that utilize polynomial functions.
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Data analysts who apply polynomial regression in data modeling.
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Anyone needing to solve polynomial equations for academic or practical applications.
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The '3 zeros of polynomials' typically refers to the roots of a polynomial equation where the polynomial is of degree three (cubic). These roots can be real or complex numbers where the polynomial equals zero.
Generally, individuals or entities who are involved in mathematical studies or applications involving cubic polynomials are required to identify and use the zeros of such polynomials. This could include students, mathematicians, or engineers.
To find the 3 zeros of a polynomial, one usually sets the polynomial equation to zero and solves for the variable. Methods include factoring, using the quadratic formula (for polynomials up to degree two), or applying numerical methods for higher degrees.
The purpose of finding the zeros of a polynomial is to determine the values of the variable for which the polynomial evaluates to zero. This is essential in various applications including graphing, solving equations, and in calculus for finding critical points.
The information that must be reported includes the values of the zeros themselves, whether they are real or complex, and any additional context such as their multiplicity (how many times each zero appears) and the original polynomial function.
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