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## Guess and Check

❶When using FOIL in reverse to factor a trinomial, the coefficient for which term needs two numbers to add up to it? The videos on Study.

Essentially, you have a few options because you are looking for two numbers that multiply to give and add up to give 1. Here are some options: These are the final answers. Always remember that when you have a variable x , n, a ,c, or whatever raised to the power of 2, there are always two values to be found.

Basically, that is the constant in front of n. Now, look at the various multiples of Also, since 12 is negative, that means one of the multiples must be negative. Therefore, -3 and 4 are the correct numbers.

Since we know what the two multiples are, these equations will be: Take the 6n and bring it over to the other side of the equation, so that everything is equal to zero. Once again, the first thing you do is figure out the multiples of 5. In this case, we only have two to work with, given that 5 is prime: The new total must then add up to the middle number, However, if you make both 1 and 5, negative, it can work. This explanation can also apply to questions 4, 6, and 7.

This one is a bit trickier, and you have to know your square roots to get it right. Since the square root of 25 is 5, and the square root of 4 is two, the equation comes out as such: Consider the general form: Quadratic Equation Homework Help? Which of the following statement is not true? A In order for the equation to be considered a quadratic equation, the coefficient a must be nonzero. B The solutions to quadratic equations are always real numbers.

C The method of completing the square can be used to solve every quadratic equation. D The quadratic formula can be used to solve every quadratic equation 2. Fill in the blank with one of the words or phrases listed below. A completing the square B discriminant C quadratic D quadratic formula 3. A A quadratic equation in this form can always be solved by factoring. B The left-hand side of this equation is called a difference of two squares. C A quadratic equation in this form can always be solved using the square root property.

Which of the following statements best describes how to derive the quadratic formula?

## Main Topics

A quadratic equation is a one-variable polynomial equation of the second degree whose general form is: ax 2 + bx + c = 0, where a, b and c are constants with a ≠ 0, and x represents a variable. A quadratic equation has two solutions, called roots. The two solutions may be or may not be distinct and may or may not be real.

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Topics from your homework you'll be able to complete: Defining a quadratic equation Solving quadratic equations in standard or non-standard form Using the greatest common factor Using the multiplication property of zero Solving help quadratic equation with the quadratic formula Using two binomials to solve quadratic inequalities.