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How do you explain the zero product property and how it is used in solving quadratic equations?
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How did you find each product of quadratic equations?
You substitute the value of the variable into the quadratic equation and evaluate the expression.
How the quadratic equation is applied in real situation?
Vertices in quadratic equations can be used to determine the highest price to sell a product before losing money again.
What are the other ways to solve quadratic equations by using the zero product property?
The phrase "other ways" implies you already have one way in mind. I regret that I am unable to read your mind to determine what that way might be!
How does the zero product rule help you solve quadratic equations?
Factor it! Set each equal to zero! Solve
Why cant the zero product property be used to solve every quadratic equation?
If the discriminant of a quadratic equation is less than zero then it will not have any real roots.
What is the formula to find the product of the roots of a quadratic equation?
If the quadratic is ax2 + bx + c = 0 then the product of the roots is c/a.
What two number have the product of 121 and the sum of 22?
11 and 11. In general, you can write an equation (or two equations), and solve with the quadratic formula, to solve this type of questions.
How many existing methods are there in solving quadratic equations?
There are 5 existing methods in solving quadratic equations. For the first 4 methods (quadratic formula, factoring, graphing, completing the square) you can easily find them in algebra books. I would like to explain here the new one, the Diagonal Sum Method, recently presented in book titled:"New methods for solving quadratic equations and inequalities" (Trafford 2009). It directly gives the 2 roots in the form of 2 fractions, without having to factor the equation. The innovative concept of the method is finding 2 fractions knowing their Sum (-b/a) and their Product (c/a). It is very fast, convenient and is applicable whenever the given quadratic equation is factorable. In general, it is hard to tell in advance if a given quadratic equation can be factored. However, if this new method fails to find the answer, then we can conclude that the equation can not be factored, and consequently, the quadratic formula must be used. This new method can replace the trial-and-error factoring method since it is faster, more convenient, with fewer permutations and fewer trials.
What is the sum and product of roots of a quadratic equation?
the sum is -b/a and the product is c/a
Sum and product of the zeros of a quadratic polynomial are -12 and -3 respectively what is the quadratic polynomial?
x2 + 15x +36
How do you solve quadratic equations by factoring?
There is a new method, called Diagonal Sum Method, that quickly and directly give the 2 roots without having to factor the equation. The innovative concept of this method is finding 2 fractions knowing their sum (-b/a) and their product (c/a). It is fast, convenient and is applicable to any quadratic equation in standard form ax^2 + bx + c = 0, whenever it can be factored. If it fails to find answer, then the equation is not factorable, and consequently, the quadratic formula must be used. So, I advise you to proceed solving any quadratic equation in 2 steps. First, find out if the equation can be factored? How?. Use this new method to solve it. It usually takes fewer than 3 trials. If its fails then use the quadratic formula to solve it in the second step. See book titled:" New methods for solving quadratic equations and inequalities" (Trafford Publishing 2009)
If you multiply a linear polynomial by a quadratic one what is the degree of the product polynomial?
It will be a cubic polynomial.
