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Name Date Zeros of Quadratic Functions A zero of a function f is a value for which f×x) 0. If a real number k is a zero of the function f×x) ax 2 + bx + c, then k is an intercept of the graph of
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How to fill out zeros of quadratic functions?

01
Identify the quadratic function in standard form, which is in the form of f(x) = ax^2 + bx + c, where a, b, and c are coefficients.
02
Set the quadratic function to equal zero, as the zeros of the quadratic function are the values of x that make the function equal to zero.
03
Use factoring, the quadratic formula, or completing the square to solve for the zeros of the quadratic function.
04
If factoring is possible, try to factor the quadratic expression into two binomials. Set each binomial equal to zero and solve for x to find the zeros.
05
If factoring is not possible, use the quadratic formula, which states that the zeros can be found using the formula x = (-b ± √(b^2 - 4ac)) / 2a, where a, b, and c are the coefficients of the quadratic function.
06
If the quadratic function cannot be factored and the quadratic formula is not suitable, complete the square by manipulating the equation to have a perfect square trinomial on one side. Solve for x by taking the square root of both sides.
07
Once you have found the values of x that make the quadratic function equal to zero, these are the zeros or roots of the quadratic function.

Who needs zeros of quadratic functions?

01
Students studying algebra or calculus often encounter quadratic functions and need to find the zeros as part of solving equations or graphing the functions.
02
Engineers and scientists often use quadratic functions in modeling physical phenomena, and finding the zeros helps them identify critical points or determine when certain conditions are met.
03
Business professionals who deal with financial analysis or optimization problems may also encounter quadratic functions and need to find the zeros to maximize profits or minimize costs.
04
Anyone working in a field where mathematical modeling is used may need to find the zeros of quadratic functions to solve real-world problems or make informed decisions.
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Zeros of a quadratic function is the value(s) of x where the function equals zero.
Zzeros of a quadratic function does not need to be filed, it is a mathematical concept used in algebra.
Zzeros of a quadratic function are found by setting the function equal to zero and solving for x.
The purpose of finding zeros of a quadratic function is to determine the points where the function crosses the x-axis.
The information reported when finding zeros of a quadratic function includes the equation of the function and the values of x where it equals zero.
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