Is x + 9 a factor of the polynomial P(x) = x^3 + 11x^2 + 15x -27? If so, write the polynomial as a product of two factors. If not, explain how you know.

The factors of polynomial are (x-1) and (x+3)

Step-by-step explanation:

If (x+9) is a factor of P(x)= x³+11x²+15x-27 then the P(x) must be completely divisible by (x+9)

After finding the polynomial, we need to factorise the polynomial by utilising the quadratic equation.

All the process has been described in image attached-

S₁, S₂, S₃ represents various steps involved in solving the problem.

It is found that (x+9) is a factor of   x³+11x²+15x-27

The polynomial found after dividing   x³+11x²+15x-27 by (x+9) is  x²+2x-3

Which can be further factorised by quadratic rule into the factors as (x-1) and (x+3)

Hence the factors are (x-1) and (x+3)

whole numbers.

step-by-step explanation:

we are given the average monthly rainfall (in millimeters) model r(m) for the years 1900-2009 as a function of the month number m.

as we can see m is taken for the number of months for years 1900-2009.

we know that number of months can't be a negative number or decimal number or a fraction.

so, the number of months could be only positive whole numbers.

therefore, whole numbers is more appropriate for the domain of r.

answer: yes, since the line has a steeper rate of change than the exponential the y-values will be greater and they will only intersect one time.