Which of the following represents the factorization of the polynomial function graphed below? (assume it has no constant factor.)

OPTION C: y = (x -1)(x - 5)

Step-by-step explanation:

Note that the graph cuts the x - axis at x = 1 and x = 5.

This means the zeros of the polynomial are at x = 1, 5.

Therefore, the equation would be: y = (x -1)(x - 5).

Substituting x =1 or 5 would render the polynomial zero.

So, we say that the above equation is the solution.

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for