Algebra and Functions (2) Flashcards
How to calculate (a+b)(a-b)?
a^2 - b^2
a^2 - b^2
How to calculate (a+b)(a-b)?
How to factorise 3x^2 + 4x - 15?
Find two numbers that multiply to get 15
But give me 4x when multiplied by 3x and x
Then add/subtract them
Find two numbers that multiply to get 15
But give me 4x when multiplied by 3x and x
Then add/subtract them
How to factorise 3x^2 + 4x - 15?
What is (1/2x) * 2x?
1
1
What is (1/2x) * 2x?
How to rewrite (2x^2 - 8x + 3) as one bracket squared
2(x^2 - 4x) + 3
b=-8, so b/2a = -8/(2*2) = -2
So the bracket is 2(x-2)^2 + d
2(x^2 - 4x) + 3
b=-8, so b/2a = -8/(2*2) = -2
So the bracket is 2(x-2)^2 + d
How to rewrite (2x^2 - 8x + 3) as one bracket squared
What if the coefficient of x^2 is positive?
Graph is u-shaped
Graph is u-shaped
What if the coefficient of x^2 is positive?
What if the coefficient of x^2 is negative?
Graph is n-shaped
Graph is n-shaped
What if the coefficient of x^2 is negative?
How to find maximum or minimum value of the graph (for x) when roots are 2 and -4?
e.g. two roots are 2 and -4
Do (2+-4) / 2 = -1
So the value of x=1
e.g. two roots are 2 and -4
Do (2+-4) / 2 = -1
So the value of x=1
How to find maximum or minimum value of the graph (for x) when roots are 2 and -4?
How many roots does b^2 - 4ac > 0 have?
Two real roots
