7(x - 1)(x + 3)
-x - 2 + 15x = 14x - 2 = 2(7x - 1)
7x + 1 = 20 7x = 19 x = 19/7 x = 2.714285 recurring (that is, 2.714285714285..)
Dividing all terms by 2 gives: 6x2+7x+2 = (2x+1)(3x+2) when factored
7x/4 = 1/8 (7x/4) x (8) = (1/8) x (8) 14x = 1 x = 1/14
If that's +14x + 3, the answer is (2x + 3)(4x + 1)
1
7(x - 1)(x + 3)
-x - 2 + 15x = 14x - 2 = 2(7x - 1)
7x + 1 = 20 7x = 19 x = 19/7 x = 2.714285 recurring (that is, 2.714285714285..)
It appears there might be some confusion in your notation or expression. To factor 7x - 14x, you can first factor out the common factor, which is 7x. Here's how you do it: 7x - 14x = 7x(1 - 2) Now, the common factor of 7x has been factored out, and you're left with 1 - 2 inside the parentheses. So, the expression 7x - 14x can be simplified to: 7x(1 - 2) Now, it's clear that the width of Yun's area model is 1 - 2, which is equal to -1. So, the width of Yun's area model is -1.
Dividing all terms by 2 gives: 6x2+7x+2 = (2x+1)(3x+2) when factored
7x/4 = 1/8 (7x/4) x (8) = (1/8) x (8) 14x = 1 x = 1/14
x2-7x-44 (x-11)(x+4)
x2 - 2x - 14 doesn't factor neatly. Applying the quadratic formula, we find two real solutions: 1 plus or minus the square root of 15x = 4.872983346207417x = -2.872983346207417
(14x)(x)+1 14x^2 + 1
(12x3 + 14x2 + 14x + 2)/(4x + 2) simplify= (6x3 + 7x2 + 7x + 1)/(2x + 1)1. 6x3 + 7x2 - 3x2(2x + 1) = 6x3 - 6x3 + 7x2 - 3x2 = 4x2; bring down 7x2. 4x2 + 7x - 2x(2x + 1) = 4x2 - 4x2 + 7x - 2x = 5x bring down 13. 5x + 1 - 2(2x + 1) = 5x - 4x + 1 - 2 = x - 1 the reminderThus, (6x3 + 7x2 + 7x + 1)/(2x + 1) = 3x2 + 2x + 2 + (x - 1)/(2x + 1)and(12x3 + 14x2 + 14x + 2)/(4x + 2) = 3x2 + 2x + 2 + (2x - 2)/(4x + 2).