0
x3 + 9x2 + 27x + 27
Given the numbers in the equation, we can likely bet on (x + 3) being a factor. Let's try it with artificial division:
3 * 1 = 3
9 - 3 = 6
3 * 6 = 18
27 - 18 = 9
3 * 9 = 27
27 - 27 = 0
Bingo. So let's carry it out in long division:
x2 + 6x + 9
_____________________
x + 3 ) x3 + 9x2 + 27x + 27
x3 + 3x2
6x2 + 27x
6x2 + 18x
9x + 27
9x + 27
0
So we have:
x3 + 9x2 + 27x + 27
= (x + 3)(x2 + 6x + 9)
Which we can now factor further with relative ease:
= (x + 3)(x + 3)(x + 3)
= (x + 3)3
What else can I help you with?
How do you factor 27x3-64?
27X^3 - 64 = 0 add 64 to each side 27X^3 = 64 divide each side by 27 X^3 = 64/27 take cubic root of each side X = cubic root(64/27) easy cubic root X = 4/3 check 27(4/3)^3 - 64 = 0 27(2.37037037) - 64 = 0 64 - 64 = 0 checks
How do you factor the trinomial completely 18x3 29x 3x?
I'm guessing that's 18x3 + 29x2 + 3x. That factors to x(2x + 3)(9x + 1) 18x3 + 29x2 + 3x factor x = x(18x2 + 29x + 3) write 29x as 27x + 2x = x(18x2 + 27x + 2x + 3) group by two and factor each group = x[(18x2 + 27x) + (2x + 3)] = x[9x(2x + 3) + 1(2x + 3)] continue factoring = x(2x + 3)(9x + 1) Or since (18)(3) = 54 and (27)(2) = 54 then write: = x(18x2 + 29x + 3) = x[(18x + 27)/9][(18x + 2)/2] = x(2x + 3)(9x + 1)
What is the greatest common factor for 27 and 54?
Since 27 is a factor of 54, and 27 cannot have a larger factor than itself, the greatest common factor of 27 and 54 is 27.
What is the greatest common factor of 27 and 54?
Since 27 is a factor of 54, it is automatically the GCF of this problem.27. 27*2=54.Since 27 is a factor of 54, it is automatically the GCF of this problem.
What is the least common factor of 27?
There cannot be a least common factor of 27, because there cannot be any form of common factor without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. The least common factor would be the smallest common factor that all the numbers have, which would be 1.
Factor this 9x2 plus 27?
9x(x2+3x-10) * * * * * 9x3 + 27x2 - 90x = 9x(x2 + 3x - 10) = 9x(x + 5)(x - 2).
Solve for x 27x-3 equals 105?
27x-3=105 27x =105+3 27x = 108 27x/27=108/27 x= 4
How does 27x to the 6th power minus 64x to the 9th power factor?
-x^6(64x^3 - 27)
How do you solve X-3 raised to the 3rd power?
(x-3)3 = (x-3)*(x-3)*(x-3) =(x-3)*(x2-6x+9) = x3 - 9x2 + 27x - 27
Solve for x to 27x - 3 equals 105?
27x-3=105 27x=105+3 27x=108 x=108/27 x=4ans
What is 27x cubed?
27x cubed, written mathematically as 27x³, represents the expression where 27 is multiplied by the cube of the variable x. This can be expanded as 27 * x * x * x, which equals 27x * x². In simpler terms, it signifies that the variable x is raised to the third power and then multiplied by 27.
3 equals 27x plus 1?
Is the same as: 27x+1 = 3 Deduct 1 from both sides: 27x+1-1 = 3-1 27x = 2 Divide both sides by 27: x = 2/27
What is 27x - 27 if X equals -9?
To solve this we simply plug in the value of x where any x's are found in the equation. 1) 27x - 27; x = -9 2) 27(-9) - 27 3) -243 - 27 = -270 So, 27x - 27 = -270 if x = -9.
What is the cubed root of 27x to the 12th power?
cube root of 27 = 3, so 3^12 = 531 441 * * * * * If the question is about 27x, rather than 27, the answer is as follows: cuberoot(27x12) = (27x)12/3 = (27x)4 = 531441x4
What is 27x 49?
27*49=1323
What Is 3x27 x?
I am not sure if you mean 3(27) or 3(27x), either way the answer would be 81 [if you are referring to 27x, then just simply add an x to the end of 81.]
What is the factored form of 27x cubed minus eight?
27X^3-8 = 0 27X^3 = 8 X^3 = 8/27 X = cubic root of 8/cubic root of 27 = 2/3
