Factor completely. then sketch the graph with at least six points, including all roots and the y-intercept.

The rational root theorem suggests the following possible rational roots:

22, -22, 11, -11, 2, -2, 1, -1

(obtained by dividing all divisors of the constant term, 22, by the coefficient of the leading term, 1). Checking all of these possibilities, we happen to find that .

By the polynomial remainder theorem (if for some polynomial , then divides ), we then know that and are factors.

Performing the division gives

The remaining quadratic has discriminant

which means the remaining two terms are complex and the quadratic cannot be factored any further (over the real numbers). So

b

step-by-step explanation:

the total is 23.97. 0.25% is off so you have to subtracting 25% from 100% and you will get 75% if you convert it to decimal you will get 0.75. you have to find the original because the formula is % times original = total.so you have the total and the % so you just have to plug it in.

3/4 ÷ 3/4

step-by-step explanation:

basically divide any proper fraction with itself to fit the criteria.

so if we are using 3/4, then:

3/4 ÷ 3/4 = 1

so 1 is the quotient.

and the numerators for both these fractions is 3.   and if we divide the numerators:

3 ÷ 3 = 1

we see that quotient is equal to our original quotient as well.