How do you factor x^3 -8? - Socratic
Oct 29, 2014 · x^3 - 8 is the difference of two cubes and can be factored in the following pattern. a^3 -b^3 = (a - b)(a^2 +ab +b^2) a^3 factors to a b^3 factors to b The pattern of the signs follows the acronym SOAP S = same sign as the cubes O = opposite sins of the cubes AP = always positive x^3 factors to x 8 factors to 2 x^3 - 8 = (x - 2)(x^2 + 4x + 4) SMARTERTEACHER …
What is 8x 3? - Answers
Apr 28, 2022 · If you mean 8 time 3, then 24. If you mean 8x + 3, where x is a variable, then no value can be determined until the value of the variable, x, is known. (Same for 8x - 3) If you mean 8x3 , once again is unknown but the value of x would be multiplies as a factor 3 times. what about 8x = 3, then there is an algebraic answer. x = 8/3 or 2 2/3
How do you factor x^3+8? - Socratic
Mar 14, 2018 · Read below. An interesting fact: a^3+b^3=(a+b)(a^2-ab+b^2) In x^3+8, a^3=x^3 and b^3=8 Let's solve for a and b. =>a^3=x^3 =>root [3] (a^3)= root[3] (x^3) =>a= x Now for b. =>b^3=8 =>root [3] (b^3)= root[3] (8) =>b= 2 Plug these values into our equation. x^3+2^3=(x+2)(x^2-2x+2^2) (x+2)(x^2-2x+4) This is our answer! If you want to factor this …
How do you solve 8x + 3= 19? | Socratic
Mar 3, 2018 · Going through the steps: First subtract 3 from both sides (whatever you do to one side to do the other) 8x +3 = 19. (8x +3) − 3 = 19 −3. The 3's cancel out on the left side of the = sign, and do 19 minus 3 on the other side. 8x = 16. Now, divide 8 from both sides. Remember, we're trying to get the "x" value all by itself.
Scientific Notation - Algebra - Socratic
Elemental (atomic) quantities and cosmic (space) quantities, as well as many technological metrics. As the name implies, its primary use is in the sciences, where huge ranges of values may be encountered. It is also often used when accuracy must be communicated consistently. Chemists, physicists, astronomers and biologists (and related ...
#sqrt(4x+8)=x+3# - Socratic
Feb 26, 2018 · x=-1 Square both sides: sqrt(4x+8)^2=(x+3)^2 Squaring a square root causes the square root to cancel out, IE, sqrt(a)^2=a, so the left side becomes 4x+8. 4x+8=(x+3)^2 4x+8=(x+3)(x+3) Multiplying out the right side yields: 4x+8=x^2+6x+9 We want to solve for x. Let's isolate every term on one side and have the other side equal 0. 0=x^2+6x-4x+9-8 x^2+2x+1=0 …
What is the inverse function of #(3x - 8)/( x - 3)#? - Socratic
Sep 10, 2015 · Let y=(3x-8)/(x-3).In order to find the inverse we need to solve with respect to x. So we have that y=(3x-8)/(x-3)=>y(x-3)=3x-8=>yx-3y=3x-8=>yx-3x=3y+8=>x(y-3)=3y+8 ...
Domain and Range of a Function - Algebra - Socratic
To determine the domain and range of a function, first determine the set of values for which the function is defined and then determine the set of values which result from these. E.g. #f (x) = sqrtx#. #f (x)# is defined #forall x>=0: f (x) in RR#. Hence, the domain of #f (x)# is # [0,+oo)#. Also, #f (0) = 0# and #f (x)# has no finite upper ...
Slope of a Curve at a Point - Calculus - Socratic
Slope of a curve y = x2 − 3 at the point where x = 1? First you need to find f '(x), which is the derivative of f (x). f '(x) = 2x − 0 = 2x. Second, substitute in the value of x, in this case x = 1. f '(1) = 2(1) = 2. The slope of the curve y = x2 − 3 at the x value of 1 is 2. AJ Speller · · Sep 21 2014.
How do you factor x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2
May 11, 2016 · x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1 = (x^2+x+1)(x^2-2cos((2 pi)/9)x+1)(x^2-2cos((4 pi)/9)x+1)(x^2-2cos((8 pi)/9)x+1) Notice that if you multiply this polynomial by (x-1) the result is x^9-1. So the zeros of this polynomial are all the Complex 9th roots of 1 except 1. Using the difference of cubes identity a couple of times, we find: x^9-1 = (x^3)^3-1^3 = (x^3 …