Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x−2)(x4+2x3+4x2+8x+16)
Evaluate
x5−32
Calculate
x5+2x4+4x3+8x2+16x−2x4−4x3−8x2−16x−32
Rewrite the expression
x×x4+x×2x3+x×4x2+x×8x+x×16−2x4−2×2x3−2×4x2−2×8x−2×16
Factor out x from the expression
x(x4+2x3+4x2+8x+16)−2x4−2×2x3−2×4x2−2×8x−2×16
Factor out −2 from the expression
x(x4+2x3+4x2+8x+16)−2(x4+2x3+4x2+8x+16)
Solution
(x−2)(x4+2x3+4x2+8x+16)
Show Solution
Find the roots
x=2
Evaluate
x5−32
To find the roots of the expression,set the expression equal to 0
x5−32=0
Move the constant to the right-hand side and change its sign
x5=0+32
Removing 0 doesn't change the value,so remove it from the expression
x5=32
Take the 5-th root on both sides of the equation
5x5=532
Calculate
x=532
Solution
More Steps
Evaluate
532
Write the number in exponential form with the base of 2
525
Reduce the index of the radical and exponent with 5
2
x=2
Show Solution