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Factor.\newlineq2+6q+5q^2 + 6q + 5

Full solution

Q. Factor.\newlineq2+6q+5q^2 + 6q + 5
  1. Identify bb and cc: Identify bb and cc in the quadratic expression q2+6q+5q^2 + 6q + 5.\newlineb=6b = 6, c=5c = 5
  2. Find two numbers: Find two numbers that multiply to c(5)c (5) and add up to b(6)b (6).\newlineNumbers: 11 and 55, because 1×5=51 \times 5 = 5 and 1+5=61 + 5 = 6.
  3. Write factored form: Write the factored form using the two numbers found.\newlineFactored form: (q+1)(q+5)(q + 1)(q + 5)