12x+14
(x+7)(x+2)
A binomial
x2+12x+28Improved Answer:--x2+12x+28 = (-x+14)(x+2) when factored
Dividing all terms by 2 gives: x2+9x+18 = (x+3)(x+6) when factored
x - x2 - 9x + 14 = 0 ; whence, x2 + 8x = 14 , x2 + 8x + 16 = 30 , and x + 4 = ±√30 . Therefore, x = ±√30 - 4 .
12x+14
(x+7)(x+2)
-5
A binomial
x2+12x+28Improved Answer:--x2+12x+28 = (-x+14)(x+2) when factored
Dividing all terms by 2 gives: x2+9x+18 = (x+3)(x+6) when factored
x2-9x+18 = (x-3)(x-6) when factorised
Step 1: Divide by 9x: 9x (x2 + 3x - 10) = 9x(x + 5)(x - 2)
x2 - 9x + 18 = (x - 3)(x - 6)
x2+9x+18 find factors of 18 that add up to 9, in this case 6&3 (x+6)(x+3)
If: y = x2-7x+8 and y = -x2+9x-6 Then: x2-7x+8 = -x2+9x-6 So: 2x2-16x+14 = 0 => x2-8x+7 = 0 Therefore: x = 1 and x = 7 By substitution: x =1, y = 2 and x = 7, y = 8 Points of intersection: (1, 2) and (7, 8)