Use the remainder theorem to find the remainder when p(x) = x^4-9x^3 - 5x^2 - 3x + 4 is
divided by x + 3
show your work

The required remainder is .

Given:

The given polynomial is .

is divided by .

To find:

The remainder by using the Remainder Theorem.

Explanation:

According to the Remainder Theorem, if a polynomial is divided by , then the remainder is .

It is given that is divided by . By using the Remainder Theorem, the remainder is .

Therefore, the required remainder is .

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Remainder=292

Step-by-step explanation:

x+3=0

x=-3

p(-3)=(-3)^4-9(-3)^3-5(-3)^2-3(-3)+4

=81+243-45+9+4

=337-45

=292

(2,20) means that the 2 is 2 hours and 20 is 20$. so there both 20$ for 2 hours only the same price. like it says. so, the dunk tank and the bounce house are the same price (20$) for the same amount of time (2 hours).

hope i

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!