Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
4p4−35p
Evaluate
2p4×2−35p
Solution
4p4−35p
Show Solution
Factor the expression
p(4p3−35)
Evaluate
2p4×2−35p
Multiply the terms
4p4−35p
Rewrite the expression
p×4p3−p×35
Solution
p(4p3−35)
Show Solution
Find the roots
p1=0,p2=2370
Alternative Form
p1=0,p2≈2.060643
Evaluate
2(p4)×2−35p
To find the roots of the expression,set the expression equal to 0
2(p4)×2−35p=0
Calculate
2p4×2−35p=0
Multiply the terms
4p4−35p=0
Factor the expression
p(4p3−35)=0
Separate the equation into 2 possible cases
p=04p3−35=0
Solve the equation
More Steps
Evaluate
4p3−35=0
Move the constant to the right-hand side and change its sign
4p3=0+35
Removing 0 doesn't change the value,so remove it from the expression
4p3=35
Divide both sides
44p3=435
Divide the numbers
p3=435
Take the 3-th root on both sides of the equation
3p3=3435
Calculate
p=3435
Simplify the root
More Steps
Evaluate
3435
To take a root of a fraction,take the root of the numerator and denominator separately
34335
Multiply by the Conjugate
34×342335×342
Simplify
34×342335×232
Multiply the numbers
34×3422370
Multiply the numbers
222370
Reduce the fraction
2370
p=2370
p=0p=2370
Solution
p1=0,p2=2370
Alternative Form
p1=0,p2≈2.060643
Show Solution