Question
Factor the expression
11t2(1−3t3)
Evaluate
11t2−33t5
Rewrite the expression
11t2−11t2×3t3
Solution
11t2(1−3t3)
Show Solution

Find the roots
t1=0,t2=339
Alternative Form
t1=0,t2≈0.693361
Evaluate
11t2−33t5
To find the roots of the expression,set the expression equal to 0
11t2−33t5=0
Factor the expression
11t2(1−3t3)=0
Divide both sides
t2(1−3t3)=0
Separate the equation into 2 possible cases
t2=01−3t3=0
The only way a power can be 0 is when the base equals 0
t=01−3t3=0
Solve the equation
More Steps

Evaluate
1−3t3=0
Move the constant to the right-hand side and change its sign
−3t3=0−1
Removing 0 doesn't change the value,so remove it from the expression
−3t3=−1
Change the signs on both sides of the equation
3t3=1
Divide both sides
33t3=31
Divide the numbers
t3=31
Take the 3-th root on both sides of the equation
3t3=331
Calculate
t=331
Simplify the root
More Steps

Evaluate
331
To take a root of a fraction,take the root of the numerator and denominator separately
3331
Simplify the radical expression
331
Multiply by the Conjugate
33×332332
Simplify
33×33239
Multiply the numbers
339
t=339
t=0t=339
Solution
t1=0,t2=339
Alternative Form
t1=0,t2≈0.693361
Show Solution
