Module 4. Solving Polynomials. Directions: Read and answer all questions. Please show all of your work on a separate sheet of paper. You may neatly hand write your work and upload its clear pictures. You may also type up your work. Attach all documents in the dropbox below.

Consider the graph of f(x) = x3 -3x2 + 2x - 6 below

What is the real solution of f(x) based on the graph? Verify algebraically that your answer is a zero of f(x). (7 points).
Factor f(x). (8 points).
Find all complex zeros of f(x). (8 points).
Write f as a product of three linear factors. (7 points).
Module 4. Solving Polynomials.

Directions: Read and answer all questions. Please show all of your work on a separate sheet of paper. You may neatly hand write your work and upload its clear pictures. You may also type up your work. Attach all documents in the dropbox below.

Consider the graph of f(x) = x3 -3x2 + 2x - 6 below

What is the real solution of f(x) based on the graph? Verify algebraically that your answer is a zero of f(x). (7 points).
Factor f(x). (8 points).
Find all complex zeros of f(x). (8 points).
Write f as a product of three linear factors. (7 points).

"a" determine whether sage found the correct quotient. show your work

step-by-step explanation:

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.

answer:  

step-by-step explanation:

odd numbers are only divisible by 1 and itself.

even numbers are divisible by more than 1 and itself.

for example 6 is even because it is divisible by more than 1 and its self. 1 x 6= 6 ; 2 x 3= 6

and 7 is odd because only 7 x 1 equals seveb

14

step-by-step explanation:

14