Answer:
![p(x) = x^{3} + 3x^{2} -4 = (x-1)(x+2)(x+2)](https://tex.z-dn.net/?f=p%28x%29%20%3D%20x%5E%7B3%7D%20%2B%203x%5E%7B2%7D%20%20%20-4%20%3D%20%28x-1%29%28x%2B2%29%28x%2B2%29)
Step-by-step explanation:
The given polynomial ![p(x) = x^{3} + 3x^{2} -4](https://tex.z-dn.net/?f=p%28x%29%20%3D%20x%5E%7B3%7D%20%2B%203x%5E%7B2%7D%20%20%20-4)
Now, given that (x-1) is a factor of the above equation.
Now, divide the given polynomial with the factor (x-1)
By Long division, we get
Quotient =
and Remainder = 0
So, by the <u>Remainder theorem</u>
Now, Simplifying the quotient further, we get
=
=
or,
= (x+2)(x+2)
Hence, the given polynomial
can be written as a product of linear factors.
![p(x) = x^{3} + 3x^{2} -4 = (x-1)(x+2)(x+2)](https://tex.z-dn.net/?f=p%28x%29%20%3D%20x%5E%7B3%7D%20%2B%203x%5E%7B2%7D%20%20%20-4%20%20%3D%20%28x-1%29%28x%2B2%29%28x%2B2%29)
X-1/(x+2)(x-2)^3(x+1) is the answer.
I hope this helps. :)
Answer:
$3.25 x 5 months = $16.25
$175 - $16.25 = $158.75
If Jackie doesn't deposit any money after 5 months, she will have $158.75 left over from the $175 in the bank
Step-by-step explanation:
Answer:
x-intercept = 9 y-intercept = 5
Step-by-step explanation: