Adding & Subtracting
(5y^2+12y+4)+(6y^2-8y+7)
11y^2+4y+11
(3r-8)(11r+1)
33r^2-85r-8
p^21/p^7
p^14
-18xy^2-27x^2y
-9xy(3x+2y)
Classify by degree and number of terms:
y^2+6y^3+9y^4
4th degree trinomial
(7x^2-2xy+6y^2)+(3x^2-5xy)
10x^2-7xy+6y^2
(y+8)(4y^2+y-7)
4y^3+33y^2+y-56
2/c^-5
2c^5
p^2+11p+30
(p+5)(p+6)
Write the formula for factoring a difference of cubes.
a^3-b^3
Remember "Same, Opposite, Always Positive" (S.O.A.P.) for the signs.
(a-b)(a^2+ab+b^2)
(a^2-b^2)-(a^2+3ab-4b^2)
-3ab+3b^2
(48y^4-24y^3) div (-8y^2)
-6y^2+3y
(5/8 x^3y)(24x^5y)
15x^8y^2
5x^2-17x+6
(5x-2)(x-3)
A painter drops a brush from a platform 75 feet high. The function
h(t)=-16t^2+75
gives the height of the brush t seconds after it was dropped. Find the height after 2 seconds.
After 2 seconds, the height of the brush is 11 feet.
Subtract
(5x^2-x+12)
from
(9x^2-6x-20)
4x^2-5x-32
(2x^3+6x^2-15x+21) \div (x+5)
2x^2-4x+5+(-4)/(x+5)
(-5m^4n^6)(8m^-5n^-3)
-(40n^3)/m
5x^3-3x^2+5x-3
(x^2+1)(5x-3)
Solve:
5a^2-26a=24
a=-4/5 or 6
(x^3-x^2y)-(4xy^2-y^3)+(3x^2y-xy^2)
x^3+y^3+2x^2y-5xy^2
(2n^3-10n+28) div (2n+4)
n^2-2n-1+32/(2n+4)
((2ab^2)/c)^-3
c^3/(8a^3b^6)
250r^3+54
2(5r+3)(25r^2-15r+9)
Find the x- and y-intercepts of the function:
f(x)=6x^2-7x-5
x-int:
(5/3,0), (-1/2,0)
y-int: (0, -5)