Alfred is practicing typing. the first time he tested himself, he could type 45 words per minute. after practicing for a week, he could type 48 words per minute. after two weeks he could type 51 words per minute. based on this pattern, predict how fast alfred will be able to type after 4 weeks of practice. a. 61 words per minute   b. 57 words per minute   c. 54 words per minute   d. 51 words per minute

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.