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Exercise

$k^2+30k+125$

Step-by-step Solution

1

Factor the trinomial $k^2+30k+125$ finding two numbers that multiply to form $125$ and added form $30$

$\begin{matrix}\left(5\right)\left(25\right)=125\\ \left(5\right)+\left(25\right)=30\end{matrix}$
2

Rewrite the polynomial as the product of two binomials consisting of the sum of the variable and the found values

$\left(k+5\right)\left(k+25\right)$

Final answer to the exercise

$\left(k+5\right)\left(k+25\right)$

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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