0
You can factor quadratics using a number of different methods, but a relatively simple way is the diamond method.
The format for a quadratic: ax2+ bx + c
Take a sample function. x2 + 2x − 15
Draw a relatively large "X" on your paper.
The top region of the diamond is the Product of (a)(c).
a = 1. c = (-15).
1(-15) = (-15).
The lower region of the diamond is the Sum of the x's, or the value of (b).
b = 2. 2 goes in the lower part of the diamond.
The regions on the sides is the space where you will write two numbers that
MULTIPLY to (a)(c) (or in this case, (-15)
ADD to (b) (in this case, 2).
In the sample function, the two numbers that multiply to (-15) and add to 2 are 5 and (-3). 5(-3) = -15. 5+(-3) = 2.
You now know that the factored form of the function x2 + 2x − 15 is written (x-3)(x+5).
You can check to make sure this is correct by distributing using the FOIL method. First, Outside, Inside, Last. Combine 'like terms' and the function should look the same as when you started out.
Add your answer:
Earn +20 pts
Factorise quadratics 3x-17x 10?
Do you mean: 3x2-17x+10? If so then it is: (3x-2)(x-5)
What are the rules of quadratics?
1. Quadratics should always contain a set of numbers inconjuction with letters (x usually). 2. Quadratics are always in the form ax2 + bx + c. Where a,b and c are constants and x is a variable. 'a' must always equal '0'. 3. The total equation must never equal '0'. 4. To solve quadratics, you DO NOT factorise. 5. To solve quadratics, use the formula x=a, therefore, b=c. 6. The word 'quadratics' literally means four. This in term means that there are four ways you can solve for the answer of the equation.
Why are quadratics important in life?
they're not
How do you factorise a²-a?
a²-a = a(a-1)
How do you factorise 10X 5?
you do (245x)
Factorise quadratics 3x-17x 10?
Do you mean: 3x2-17x+10? If so then it is: (3x-2)(x-5)
What are the rules of quadratics?
1. Quadratics should always contain a set of numbers inconjuction with letters (x usually). 2. Quadratics are always in the form ax2 + bx + c. Where a,b and c are constants and x is a variable. 'a' must always equal '0'. 3. The total equation must never equal '0'. 4. To solve quadratics, you DO NOT factorise. 5. To solve quadratics, use the formula x=a, therefore, b=c. 6. The word 'quadratics' literally means four. This in term means that there are four ways you can solve for the answer of the equation.
How do you do quadratics?
x2=100
Which of the quadratics has a graph with only one x-intercept?
Quadratics that can be written in the form y = a*(x - r)2
Why are quadratics important in life?
they're not
What are the release dates for Assignment Discovery - 1992 Lines and Quadratics?
Assignment Discovery - 1992 Lines and Quadratics was released on: USA: 5 October 2006
What is 2a3-5a2-39 In Rationalizing quadratics?
In rationalising quadratics 2a3 - 5a2 - 39 is an irrelevance. It is not a quadratic but a cubic and so not within the defined scope.
What does factorise fully mean?
Factorise fully is when brackets are involved in the equation
How do you factorise a²-a?
a²-a = a(a-1)
Maths. what is to factorise?
To factorise is to find the numbers that divide into the original number by only using prime numbers. For example factorise 20 = 2 times 2 times 5
Why do you set factors equal to 0 when solving quadratics?
10
Why study quadratics?
mostly for some jobs like communication
