Write down all the pairs of factors of '2' & '12'
Hence
2 = ( 2,1)
12 = ( 1,12) , ( 2, 6), ( 3 ,4)
From these pairs we select two sets of factors , one each from '1' & '12' , which multiply and then add to '5'
They are ( 2,1) & ) 3.4)
Multiply ( 4 x 2) & ( 3 x 1) = 8 & 3 ; 8 - 3 = 5
Opening brackets
( 2x 3)( x 4)
( 2x + 3)( x - 4)
Or
2x^(2) - 5x = 12
Algebraically rearrange
2x^(2) - 5x - 12 = 0
It is now in Quadratic Form and can be factored.
Which signs
f(x) = 2x2 + 4x - 7
A quadratic equation.
You don't factor an equation. You factor an expression.So we'll forget about the "equals 0" for a second, while we factor "x2 plus 5x plus 6".x2 + 5x + 6 = (x + 3) (x + 2).Now, if you want this expression to be equal to zero, that can only happen when 'x' is -2 or -3.
"y = 2x2 - 12x + 6" is a quadratic equation which describes a parabola whose vertex occurs at the point (3, -12) and which has a range of -12 → ∞. It intercepts the x-axis at the points (3 - √6, 0) and (3 + √6, 0).
By using the quadratic formula the given quadratic expression will factor into irrational numbers and so therefore a straight forward answer is quite difficult.
It has roots x = 2.618 and x = 0.38197
OK. That's the equation of a parabola, symmetrical with respect to the x-axis, opening downward, with its nose at y=1. What's the question ?
There is no equation. An equation is true, whereas the statement ( 5 + 7 = -12 ) is false.
f(x) = 2x2 + 4x - 7
2x2-4x-3x+6 2x2-7x+6 (2x+3)(x+2)
It is: 4x squared
A quadratic equation.
You don't factor an equation. You factor an expression.So we'll forget about the "equals 0" for a second, while we factor "x2 plus 5x plus 6".x2 + 5x + 6 = (x + 3) (x + 2).Now, if you want this expression to be equal to zero, that can only happen when 'x' is -2 or -3.
"y = 2x2 - 12x + 6" is a quadratic equation which describes a parabola whose vertex occurs at the point (3, -12) and which has a range of -12 → ∞. It intercepts the x-axis at the points (3 - √6, 0) and (3 + √6, 0).
By using the quadratic formula the given quadratic expression will factor into irrational numbers and so therefore a straight forward answer is quite difficult.
That's the equation.
x = 0 and y = 4