Question

What is the factorization of the polynomial graphed below? Assume it has no constant factor. Write each factor as a polynomial in descending order. y=

Answer 1

From the graph we know that this polynomial has two zeros; one in x=5 and one in x=8. Now, since we know that this happens we have to remember that a polynomial can be factor as:

`y=(x-r_1)(x-r_2)\cdot\cdot\cdot(x-r_n)`

where the r's are the zeros of the polynomial.

Therefore in this case we have:

`y=(x-5)(x-8)`