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Let's say y1, y2, and y3 are zeros. Set up an expression like this (x-y1)(x-y2)(x-y3) [This is factored form] and then multiply carefully. That works with any number of roots. If 0 is a root, add an x by itself to the beginning of the factored form expression. Also, imaginary roots come in twos. Therefore, if given i as a root, you need (x-i)(x+i). If you have something in x + yi form for a root, you'll need the complex conjugate. That would make (x-(a+bi))(x-(a-bi))

Q: How do you find the equation when all zeros are given?

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If the cubic polynomial you are given does not have an obvious factorization, then you must use synthetic division. I'm sure wikipedia can tell you all about that.

You solve the equation.

(1,2) (0,5) (-1,8) (2,-1) (-2,11) All of these are solutions to the given equation.

You cannot graph quadratics by finding its zeros: you need a lot more points.Some quadratics will have no zeros. Having the zeros does not tell you whether the quadratic is open at the top (cup or smiley face) or open at the bottom (cap or grumpy face). Furthermore, it gives no indication as to how far above, or below, the apex is.

7500 followed by 9 zeros; that is 75 followed by 11 zeros in all

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If the cubic polynomial you are given does not have an obvious factorization, then you must use synthetic division. I'm sure wikipedia can tell you all about that.

They are all the points where the graph crosses (or touches) the x-axis.

You could try setting the function equal to zero, and finding all the solutions of the equation. Just a suggestion.

You solve the equation.

is a set of all replacements that make an equation time in mathematics solution set is set of values which satisfies a given equation. For solving solutions you can get help from online Find Math Solutions.

The solution set for a given equation is the set of all points such that their coordinates satisfy the equation.

They are -1, 1 and 5.

(1,2) (0,5) (-1,8) (2,-1) (-2,11) All of these are solutions to the given equation.

yes. technically all decimals have an infinite amount of zeros behind them. you just have to apply significant digits to find how much zeros you are suppose to write.

x = -1.2153 x = 2.0614

You cannot graph quadratics by finding its zeros: you need a lot more points.Some quadratics will have no zeros. Having the zeros does not tell you whether the quadratic is open at the top (cup or smiley face) or open at the bottom (cap or grumpy face). Furthermore, it gives no indication as to how far above, or below, the apex is.

The set of all values of x, for which the equation is true is the domain of the function defined by that equation.