one will contain a minus sign and the other will contain a plus sign
Both of the constants must be negative. x2-8x+12 = (x-2)(x-6) That 2 numbers added together equals -8 and when multiplied equals 12 By the way it is not an equation because it is a quadratic expression.
x2-8x+12 = (x-2)(x-6) when factored
first you must factor the equation... (x - 7)(x + 2) x = 7 and -2 Your factors are 7 and -2
When solving a quadratic equation by factoring, we set each factor equal to zero because of the Zero Product Property. This property states that if the product of two factors is zero, then at least one of the factors must be zero. By setting each factor to zero, we can find the specific values of the variable that satisfy the equation, leading to the solutions of the quadratic equation.
Not sure what you mean by "zero element". If an expression is equal to zero, and you can factor it, then at least one of the factors must be zero; this is often useful to solve an equation.
This detail is just another factor of our success.
If you're looking for common factors, they must be factors of both numbers.
That is a quadratic equation and must be factorised using two brackets. It is just a little confusing to recognise it as a quadratic as the middle x value is not there so we treat it as 0 - which means the two numbers must cancel each other out: (2x + 1) (2x - 1)
Parentheses, also known as brackets, show that whatever lies within them must be solved before anything else, and must be treated as a single chunk of an equation. For example: 2*(4+3) tells you to solve the '4+3' part of this problem first, which gives 2*7. If the brackets weren't there, the equation would be 2*4+3, which equals 8+3, or 11.
Write down four brackets with spaces on a piece of paper, ( )( ), like so. factor the first term. In this case the possible factors for the first term is only 2 times 1. Write the factors for the first term in your brackets, (x )(2x ). Determine factors for the second term. In this case the possible factors for the second term are 1 times 30, 2 times 15, 3 times 10, and 5 times 6. Determine the factors and sign for the second term through guess and check. Since the second term in the equation is positive and the third term is negative, one sign must be positive and one must be negative. Through guess and check it can be determined that the correct factor is (x+10)(2x-3). If we check this we get 2x^2-3x+20x-30. Condensed we get 2x^2+17x-30
A location factor are the factors in which the people who are placing the factory must take into consideration.
This is a basic quadratic equation. The question must be regarded as, How do you factor x² - 36 = 0 ? This equation can be written as x² - 6² = 0, which factors as (x + 6)(x - 6) = 0 This leads to the solutions (or roots) x = -6 and x = 6, often written as x = ±6