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)
Answer:
Step-by-step explanation:
For this sort of problem, there can be an infinite number of answers.
It can be convenient to choose one of the simpler answers by looking at the operations that are performed on the variable. Here, you have ...
- 2 multiplies it
- 4 is added to the product
- the square root is taken
- 8 is divided by that root
You can work from the bottom up and define the outer function (f(x)) to be any of these operations. In our answer above, we have elected to include the "square root" and the "8 divided by that root" in our definition of f.
Then our function g takes care of the other operations.
The volume of a Cone =
Since for the ice cream cone has h = 4 inches; r = 0.75; π = 3.14
Then Volume of the Cone = 2.355 in³
∴ This ice cream cone can hold ≈
2.36 in³ of ice cream without overflowing
First one is false, second one is true.
Answer:
1/3
Step-by-step explanation:
4/12 find greatest common factor with is 4
divide both by 4
4 divide by 4 equals 1
12 divided by 4 equals 3
so is 1 over 3
