For each quadratic relation, write the equation in factored form and standard form
1.zeros: -1 and 7; A point on the graph: (3, 5)
2.zeros: -2 and 6; A point on the graph: (-1, -1)
expand and simply each expression
1.(2x +3)(3x-1)+x(2x+4)
2.(3x-4)(x+5)+2((2x-3)(x-5))
3.3(2x+1)²-5(x-4)²
4.(2x-3)³
5.(3x²+6x+1)²
Factor each expression completely
1.3a²+6a
2.x²+7x+12
3.3d²-432
4.8+6x+x²
5.2x-8xy
6.y²+11y+28
7.5b²-14b+8
8.6d²+d+1
9.-16+9x²
thank for all your help..any site recommended to learn the steps and rules? going to summer school...this is not homework, just an assignment. want to compare what i have and see where i went wrong.
2006-07-27 13:21:50 · 6 answers · asked by Madina A 2 in Science & Mathematics ➔ Mathematics
expand and simply each expression
1.)
(2x + 3)(3x - 1) + x(2x + 4)
(6x^2 - 2x + 9x - 3) + 2x^2 + 4x
6x^2 + 7x - 3 + 2x^2 + 4x
8x^2 + 11x - 3
2.)
(3x - 4)(x + 5) + 2((2x - 3)(x - 5))
(3x^2 + 15x - 4x - 20) + 2(2x^2 - 10x - 3x + 15)
3x^2 + 11x - 20 + 2(2x^2 - 13x + 15)
3x^2 + 11x - 20 + 4x^2 - 26x + 30
7x^2 - 15x + 10
3.)
3(2x + 1)² - 5(x - 4)²
3((2x + 1)(2x + 1)) - 5((x - 4)(x - 4))
3(4x^2 + 2x + 2x + 1) - 5(x^2 - 4x - 4x + 16)
3(4x^2 + 4x + 1) - 5(x^2 - 8x + 16)
12x^2 + 12x + 3 - 5x^2 + 40x - 80
7x^2 + 52x - 77
4.)
(2x - 3)³
(2x - 3)(2x - 3)(2x - 3)
(4x^2 - 6x - 6x + 9)(2x - 3)
(4x^2 - 12x + 9)(2x - 3)
8x^3 - 12x^2 - 24x^2 + 36x + 18x - 27
8x^3 - 36x^2 + 54x - 27
5.)
(3x² + 6x + 1)²
(3x^2 + 6x + 1)(3x^2 + 6x + 1)
9x^4 + 18x^3 + 3x^2 + 18x^3 + 36x^2 + 6x + 3x^2 + 6x + 1
9x^4 + 36x^2 + 42x^2 + 12x + 1
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Factor each expression completely
1.)
3a² + 6a = 3a(a + 2)
2.)
x² + 7x + 12 = (x + 4)(x + 3)
3.)
3d² - 432 = 3(d^2 - 144) = 3(d - 12)(d + 12)
4.)
8 + 6x + x² = (4 + x)(2 + x)
5.)
2x - 8xy = 2x(1 - 4y)
6.)
y² + 11y + 28 = (y + 7)(y + 4)
7.)
5b² - 14b + 8 = (5b - 4)(b - 2)
8.)
6d² + d + 1 = can't be factored
9.)
-16 + 9x² = (-4 + 3x)(4 + 3x)
2006-07-27 15:10:13 · answer #1 · answered by Sherman81 6 · 4⤊ 0⤋
1. ax^2+bx+c=y
So: a-b+c=0
49a+7b+c=0
9a+3b+c=5
c=b-a so 48a+8b=0
8a+4b=5
6a+b=0 so b=-6a.
-16a=5 so a=-5/16
2006-07-27 13:30:13 · answer #2 · answered by Roxi 4 · 0⤊ 0⤋
too lazy to do the first 2 parts
1. 3a(a+2)
2. x+4)(x+3)
3. 3(d^2 -144
4. x+4)(x+2
5. 2x(1-4y)
6. y+7)(y+4
7. 5b+
8.................?
9.3x-..........
2006-07-27 13:34:18 · answer #3 · answered by shorty 3 · 0⤊ 0⤋
www.mathforum.org is an excellent site. They will help you understand what you're doing.
2006-07-27 13:26:14 · answer #4 · answered by tehabwa 7 · 0⤊ 0⤋
go to purple math .com
2006-07-27 13:25:59 · answer #5 · answered by Taylor 1 · 0⤊ 0⤋
http://mathworld.wolfram.com/ <== maybe usefull
2006-07-27 13:27:33 · answer #6 · answered by ___ 4 · 0⤊ 0⤋