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What scale factor is appropriate for reduction?
Any factor between 0 and 1.
Is zero is a factor of every positive number?
No, for 0 to be a factor, the numbers would have to be divisible by 0. You can't divide any number by 0, so it can't be a factor.1 is a factor of every positive number.
How do you find all the factors for a number without listing them all?
It is not simple. The only systematic way is to find the prime factorisation of the number and write it in exponential form. So suppose n = (p1^r1)*(p2^r2)*...*(pk^rk) where p1, p2, ... pk are prime numbers and rk are the indices (or powers). Then the factors of n are (p1^s1)*(p2^s2)*...*(pk^sk) where 0 ≤ sk ≤ rk. And remember that anything raised to the power 0 is 1. Example: n = 72 = 2*2*2*3*3 = (2^3)*(3^2) so, the factors of n are (2^a)*(3^b) where a = 0, 1, 2 or 3 and b = 0, 1 or 2. When (a, b) = (0, 0) the factor is 1. (a, b) = (1, 0) the factor is 2. (a, b) = (2, 0) the factor is 4. (a, b) = (3, 0) the factor is 8. (a, b) = (0, 1) the factor is 3. (a, b) = (1, 1) the factor is 6. (a, b) = (2, 1) the factor is 12. (a, b) = (3, 1) the factor is 24. (a, b) = (0, 2) the factor is 9. (a, b) = (1, 2) the factor is 18. (a, b) = (2, 2) the factor is 36. (a, b) = (3, 2) the factor is 72.
Is 1 a factor of every whole number?
No. Apart from -1 and 1, no other whole number is a factor of 1.
What are the factor pairs of 0 and 1?
Since zero has infinitely many factors, it can be said that any pair of numbers (0,n) - where n is an integer - are a factor pair for zero.1 = 1 * 1
Why are the numbers 0 and 1 neither prime nor composite?
0 has no factors and 1 only has 1 factor which is 1.
Is 0 a factor of all numbers?
0 is not a factor of any number other than itself. If N is any number, than there is no other number P such that N = 0 * P and that means that 0 is not a factor of N. The only number that is a factor of all numbers is 1.
Factor this 4x plus 4 equals 0?
4(x + 1) = 0.
Describe how the Factor Theorem can be used to determine whether x plus 1 is a factor of x3-2x2-8x-5?
The factor theorem states that for any polynomial function f(x), if f(a) = 0, then (x-a) is a factor of f(x). Let f(x) = x3-2x2-8x-5. If (x+1) is a factor, then f(-1) = 0. (x+1 = x - (-1)) Input x = -1 into f: (-1)3-2(-1)2-8(-1)-5 f(-1) = -1 -2 + 8 - 5 f(-1) = 0. Since f(-1) = 0, (x+1) is a factor of x3-2x2-8x-5. Q.E.D.
What are the factor for1 and 2?
for 1 its 0 and 1 for 2 its o,1,2
What is the Greatest Common Factor of 34 and 5?
the greatest common factor is 1. 34 and 5 have only two common factors 0 and 1. 1 is the greatest factor
How do I factor X squared plus 1?
x^2 + 1 = 0 x^2 - (-1) = 0 x^2 - i^2 = 0 (x - i)(x + i) = 0 x = i or x = -i
What type of number has a factor that is prime?
Any integer except 0, 1 and -1.
Is 1 a factor every number greater than 0?
Yes.
Do all numbers have at least one prime factor?
All whole numbers except for -1, 0 and 1 have at least one prime factor.
The cube of a number equals the square of the same number find the number?
x3=x2 x3-x2=0 Factor out x2 x2(x - 1) = 0 If x2=0 then x=0. If x - 1 = 0 then x = 1. Therefore the number is 0 or 1.
What is the image of P for a dilation with center (0 0) and a scale factor of 2.5 p is (1-2)?
Multiply the distance of each coordinate from the center by the scale factor to get the new position: new_coord = center_coord + (old_coord - center_coord) x scale_factor. The x and y coordinates are worked out separately; for (1, -2), center (0, 0), scale factor 2.5: new_x = 0 + (1 - 0) x 2.5 = 2.5 new_y = 0 + (-2 - 0) x 2.5 = -5 → P (1, -2) goes to (2.5, -5) under the transformation.
