What is the null factor?
The Null Factor Law states that if the product of two numbers is zero then either or both of the two numbers is zero. • If a × b = 0 then a = 0 or b = 0.
What is Null Factor Law used for?
The Null Factor Law If the product of any two numbers is zero, then one or both of the numbers is zero. That is, if ab = 0, then a = 0 or b = 0 (which includes the possibility that a = b = 0). This is called the Null Factor Law; and we use it often to solve quadratic equations.
How do you apply the zero product property?
The Zero Product Property simply states that if ab=0 , then either a=0 or b=0 (or both). A product of factors is zero if and only if one or more of the factors is zero. This is particularly useful when solving quadratic equations . x2+x−20=0 .
What is an example of zero product property?
The zero product property allows us to factor equations and solve them. For instance, x² – 6x + 5 = 0 or (x – 1) (x – 5) = 0. With the zero product property, (x – 1) = 0 or (x – 5) = 0. As a result, the answers are x = 1 and x = 5.
Why do you set each factor to zero?
The Principle of Zero Products states that if ab = 0, then either a = 0 or b = 0, or both a and b are 0. Once the polynomial is factored, set each factor equal to zero and solve them separately. The answers will be the set of solutions for the original equation.
What is a zero discriminant?
A discriminant of zero indicates that the quadratic has a repeated real number solution. A negative discriminant indicates that neither of the solutions are real numbers.
What is a discriminant example?
The discriminant also shows if the solutions are real numbers or complex numbers as well as how many solutions exist. Here are some examples of discriminant calculations: f(x)=x2−2x+3 f ( x ) = x 2 − 2 x + 3 has discriminant of b2−4ac=(−2)2−4(1)(3)=4−12=−8 b 2 − 4 a c = ( − 2 ) 2 − 4 ( 1 ) ( 3 ) = 4 − 12 = − 8 .
How do you solve factoring method?
To solve an quadratic equation using factoring :
- 1 . Transform the equation using standard form in which one side is zero.
- 2 . Factor the non-zero side.
- 3 . Set each factor to zero (Remember: a product of factors is zero if and only if one or more of the factors is zero).
- 4 . Solve each resulting equation.
Is Pi a polynomial?
π is a polynomial of degree 0 of R[x]. Therefore, the constant real map equal to π is a rational function.
What is the degree of 0?
Q. The degree of zero polynomial is zero.
How do you explain the zero product property?
The Zero Product Property states that if the product of two numbers is zero, then at least one of the numbers is zero. In symbols, where a and b represent numbers, if ab=0, then a = 0 or b=0.