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Exercise

$2x^3-x^2-10x+5$

Step-by-step Solution

1

Factor $2x^3-x^2-10x+5$ by the greatest common divisor $2$

$2\left(x^3-5x\right)-x^2+5$
2

Factor the polynomial $\left(x^3-5x\right)$ by it's greatest common factor (GCF): $x$

$2x\left(x^2-5\right)-x^2+5$
3

Factoring by $x^2-5$

$\left(x^2-5\right)\left(2x-1\right)$

Final answer to the exercise

$\left(x^2-5\right)\left(2x-1\right)$

Try other ways to solve this exercise

  • Choose an option
  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
  • Integrate by substitution
  • Integrate by parts
  • Integrate using tabular integration
  • Integrate by trigonometric substitution
  • Weierstrass Substitution
  • Prove from LHS (left-hand side)
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Main Topic: Common Monomial Factor

Monomial factor is a factor which has a variable and a term with some exponents. Common monomial factor means finding the common factor from the given set of monomials.

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