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2k2+16k+302k^2+16k+30

Full solution

Q. 2k2+16k+302k^2+16k+30
  1. Identify Quadratic Trinomial: Identify the quadratic trinomial. 2k2+16k+302k^2+16k+30 is a quadratic trinomial.
  2. Find Common Factors: Look for common factors in all three terms. \newline22 is a common factor.
  3. Factor Out Common Factor: Factor out the common factor.\newline2(k2+8k+15)2(k^2+8k+15).
  4. Find Two Numbers: Find two numbers that multiply to 1515 and add up to 88. The numbers are 33 and 55.
  5. Write Factored Form: Write the factored form of the trinomial inside the parentheses. 2(k+3)(k+5)2(k+3)(k+5).