Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(p−1)(4p+3)
Evaluate
4p2−p−3
Rewrite the expression
4p2+(3−4)p−3
Calculate
4p2+3p−4p−3
Rewrite the expression
p×4p+p×3−4p−3
Factor out p from the expression
p(4p+3)−4p−3
Factor out −1 from the expression
p(4p+3)−(4p+3)
Solution
(p−1)(4p+3)
Show Solution
Find the roots
p1=−43,p2=1
Alternative Form
p1=−0.75,p2=1
Evaluate
4p2−p−3
To find the roots of the expression,set the expression equal to 0
4p2−p−3=0
Factor the expression
More Steps
Evaluate
4p2−p−3
Rewrite the expression
4p2+(3−4)p−3
Calculate
4p2+3p−4p−3
Rewrite the expression
p×4p+p×3−4p−3
Factor out p from the expression
p(4p+3)−4p−3
Factor out −1 from the expression
p(4p+3)−(4p+3)
Factor out 4p+3 from the expression
(p−1)(4p+3)
(p−1)(4p+3)=0
When the product of factors equals 0,at least one factor is 0
p−1=04p+3=0
Solve the equation for p
More Steps
Evaluate
p−1=0
Move the constant to the right-hand side and change its sign
p=0+1
Removing 0 doesn't change the value,so remove it from the expression
p=1
p=14p+3=0
Solve the equation for p
More Steps
Evaluate
4p+3=0
Move the constant to the right-hand side and change its sign
4p=0−3
Removing 0 doesn't change the value,so remove it from the expression
4p=−3
Divide both sides
44p=4−3
Divide the numbers
p=4−3
Use b−a=−ba=−ba to rewrite the fraction
p=−43
p=1p=−43
Solution
p1=−43,p2=1
Alternative Form
p1=−0.75,p2=1
Show Solution