X3 - 20X2 + 19X
factor out an X
X(X2 - 20X + 19)
what two factors of 19 add up to - 20?
X(X - 1)(X - 19)
============ fully factored
Divide by x: x(x2 - 20x + 19); = x(x -1)(x - 19)
x3 + 2x2 - 19x - 20 = x3 + x2 + x2 + x - 20x - 20 = x2(x + 1) - x(x + 1) - 20(x + 1) = (x + 1)(x2 + x - 20) = (x + 1)(x - 4)(x + 5)
19x
(20x + 3)(1x + 1)
x^2-19x+90 (x-9) (x-10)
20x2 = 41x+9 20x2-41x-9 = 0 (5x+1)(4x-9) = 0 Therefore: x = -1/5 or x = 9/4
x=-2
(2x+1)(2x+3) when factored
2(5x + 3y)(2x + 5y)
20x2 + 22xy + 6y2 = 20x2 + 10xy + 12xy + 6y2 = 10x(2x + y) + 6y(2x + y) = (2x + y)(10x + 6y) = 2(2x + y)(5x + 3y)
To simplify the expression (19x + 12y - 5x + 13y + 75), combine like terms. The (x) terms are (19x - 5x = 14x), and the (y) terms are (12y + 13y = 25y). Therefore, the simplified expression is (14x + 25y + 75).
6x2+19x+10 = (2x+5)(3x+2) Length = 2x+5 Width = 3x+2