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Exercise

$a^2-17a+52$

Step-by-step Solution

1

Factor the trinomial $a^2-17a+52$ finding two numbers that multiply to form $52$ and added form $-17$

$\begin{matrix}\left(-4\right)\left(-13\right)=52\\ \left(-4\right)+\left(-13\right)=-17\end{matrix}$
2

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

$\left(a-4\right)\left(a-13\right)$

Final answer to the exercise

$\left(a-4\right)\left(a-13\right)$

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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