Find the quotient of minus, 3, p, cubed, minus, 21, p, squared−3p
3
−21p
2
divided by 33.
Solve the problem just like the example below
⬇️
Simplify:
start fraction, minus, 18, z, to the power 5 , plus, 3, z, to the power 4 , plus, 18, z, cubed, plus, 9, z, squared, divided by, minus, 3, z, squared, end fraction
−3z
2
−18z
5
+3z
4
+18z
3
+9z
2
minus, start fraction, 18, z, to the power 5 , divided by, minus, 3, z, squared, end fraction, plus, start fraction, 3, z, to the power 4 , divided by, minus, 3, z, squared, end fraction, plus, start fraction, 18, z, cubed, divided by, minus, 3, z, squared, end fraction, plus, start fraction, 9, z, squared, divided by, minus, 3, z, squared, end fraction
−
−3z
2
18z
5
+
−3z
2
3z
4
+
−3z
2
18z
3
+
−3z
2
9z
2
minus, left parenthesis, minus, 6, z, cubed, right parenthesis, plus, left parenthesis, minus, z, squared, right parenthesis, plus, left parenthesis, minus, 6, z, right parenthesis, plus, left parenthesis, minus, 3, right parenthesis
−(−6z
3
)+(−z
2
)+(−6z)+(−3)
6, z, cubed, minus, z, squared, minus, 6, z, minus, 3
6z
3
−z
2
−6z−3
1 answer
To find the quotient of \(-3p^3 - 21p^2 - 3p\) divided by \(33\), we will simplify the expression step-by-step just like the provided example.
We start with the expression:
\[
\frac{-3p^3 - 21p^2 - 3p}{33}
\]
Next, we simplify it by breaking it into separate fractions:
\[
= \frac{-3p^3}{33} + \frac{-21p^2}{33} + \frac{-3p}{33}
\]
Now, we simplify each term:
-
The first term:
\[
\frac{-3p^3}{33} = -\frac{3}{33}p^3 = -\frac{1}{11}p^3
\]
-
The second term:
\[
\frac{-21p^2}{33} = -\frac{21}{33}p^2 = -\frac{7}{11}p^2
\]
-
The third term:
\[
\frac{-3p}{33} = -\frac{3}{33}p = -\frac{1}{11}p
\]
Putting all these simplified terms back together gives us:
\[
-\frac{1}{11}p^3 - \frac{7}{11}p^2 - \frac{1}{11}p
\]
Lastly, we can express the entire quotient in a single fraction format:
\[
= -\frac{1}{11}(p^3 + 7p^2 + p)
\]
Therefore, the simplified quotient is:
\[
-\frac{1}{11}(p^3 + 7p^2 + p)
\]
