Type a math problem or upload a photo, screenshot, handwritten question...
error msg
- Algebra
- Calculus
- Trigonometry
- Matrix
- Differential
- Integral
- Trigonometry
- Letters
Question
p^{2}+6p+8
Factor the expression
\left(p+2\right)\left(p+4\right)
Evaluate
p^{2}+6p+8
Rewrite the expression
p^{2}+\left(4+2\right)p+8
Calculate
p^{2}+4p+2p+8
Rewrite the expression
p\times p+p\times 4+2p+2\times 4
\text{Factor out }p\text{ from the expression}
p\left(p+4\right)+2p+2\times 4
\text{Factor out }2\text{ from the expression}
p\left(p+4\right)+2\left(p+4\right)
Solution
\left(p+2\right)\left(p+4\right)
Show Solutions
Find the roots
p_{1}=-4,p_{2}=-2
Evaluate
p^{2}+6p+8
To find the roots of the expression,set the expression equal to 0
p^{2}+6p+8=0
Factor the expression
More Steps
Evaluate
p^{2}+6p+8
Rewrite the expression
p^{2}+\left(4+2\right)p+8
Calculate
p^{2}+4p+2p+8
Rewrite the expression
p\times p+p\times 4+2p+2\times 4
\text{Factor out }p\text{ from the expression}
p\left(p+4\right)+2p+2\times 4
\text{Factor out }2\text{ from the expression}
p\left(p+4\right)+2\left(p+4\right)
\text{Factor out }p+4\text{ from the expression}
\left(p+2\right)\left(p+4\right)
\left(p+2\right)\left(p+4\right)=0
When the product of factors equals 0,at least one factor is 0
\begin{align}&p+2=0\\&p+4=0\end{align}
\text{Solve the equation for }p
More Steps
Evaluate
p+2=0
Move the constant to the right-hand side and change its sign
p=0-2
Removing 0 doesn't change the value,so remove it from the expression
p=-2
\begin{align}&p=-2\\&p+4=0\end{align}
\text{Solve the equation for }p
More Steps
Evaluate
p+4=0
Move the constant to the right-hand side and change its sign
p=0-4
Removing 0 doesn't change the value,so remove it from the expression
p=-4
\begin{align}&p=-2\\&p=-4\end{align}
Solution
p_{1}=-4,p_{2}=-2
Show Solutions
