Factoring a quadratic allows you to solve the x and y intercepts.
The x-intercepts in the factored form are the inverse of the constants.
The y-intercept is the product of the x-intercepts multipied together.
Example:
x²-10x-24 = (x+2)(x-12)
+2 and -12 are the constants. So ur x-intercepts are (-2,0) (12,0).
The y intercept is -24 because -2 X 12 = -24.
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A quadratic equation
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using the quadratic formula or the graphics calculator. Yes, you can do it another way, by using a new method, called Diagonal Sum Method, that can quickly and directly give the 2 roots, without having to factor the equation. This method is fast, convenient and is applicable to any quadratic equation in standard form ax^2 +bx + c = 0, whenever it can be factored. It requires fewer permutations than the factoring method does, especially when the constants a, b, and c are large numbers. If this method fails to get answer, then consequently, the quadratic formula must be used to solve the given equation. It is a trial-and-error method, same as the factoring method, that usually takes fewer than 3 trials to solve any quadratic equation. See book titled:" New methods for solving quadratic equations and inequalities" (Trafford Publishing 2009)
Completing the square is one method for solving a quadratic equation. A quadratic equation can also be solved by factoring, using the square roots or quadratic formula. Solving quadratic equations by completing the square will always work when solving quadratic equations-You can also use division or even simply take a GCF, set the quantities( ) equal to zero, and subtract or add to solve for the variable
Here are two ways to know if a given quadratic equations can be factored (can be solved by factoring). 1. Calculate the Discriminant D = b^2 - 4ac. When D is a perfect square (its square root is a whole number), then the given equation can be factored. 2. Solve the equation by using the new Diagonal Sum method (Amazon e-book 2010). This method directly finds the 2 real roots without having to factor the equation. Solving usually requires fewer than 3 trials. If this method fails to get the answer, then we can conclude that the equation can not be factored, and consequently the quadratic formula must be used.
Yes and they do in factoring quadratic equations.Yes and they do in factoring quadratic equations.Yes and they do in factoring quadratic equations.Yes and they do in factoring quadratic equations.
A quadratic equation.
The discriminant
By knowing how to use the quadratic equation formula.
A quadratic equation
Yes FOIL method can be used with quadratic expressions and equations
It's much faster in most cases; however, factoring is not always possible.
3r2+54r-11,664
When the co-efficient of x2 is 1
You'll typically use it when solving a quadratic equation - when factoring isn't obvious.
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(k + 1)(k - 5)= 0