What the greatest common factor of 24 and 16? And why

8

Step-by-step explanation:

8 is the highest number that will go into 24 and 16. If you tried a number higher than that it wouldnt work

Hope this helped:)

8. (Refer to explanation)

Step-by-step explanation:

Factors of 16 and 24:

16:

1 x 16

2 x 8

4 x 4

Factors of 16 are 1, 2, 4, 8 and 16

24:

1 x 24

2 x 12

3 x 8

4 x 6

Factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24.

How to find common factor?

To find the common factor, you need to list out the factors and if a factor which is the same number appears from both 16 and 24, it is known as a common factor.

Common factors of 16 and 24 are 1, 2, 4, 8. Since greatest common factor is the number which is a common factor but is the biggest number, the answer is 8.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

d. 8

step-by-step explanation:

the given radical expression is:

we can rewrite this as:

we express as square numbers to get;

the exponents will now cancel out to give.

the correct answer is d