Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial.\newline6q2+9q6q^2 + 9q

Full solution

Q. Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial.\newline6q2+9q6q^2 + 9q
  1. Identify Common Factors: To find the greatest common factor (GCF) of 6q26q^2 and 9q9q, we need to identify the common factors of the coefficients and the variables. The coefficients 66 and 99 have a common factor of 33. The variables q2q^2 and qq have a common factor of qq, since q2q^2 is qq multiplied by itself and qq is just qq to the first power.
  2. Express Terms with GCF: Now we will express each term with the GCF factored out. For the first term, 6q26q^2, we divide it by the GCF, which is 3q3q. This gives us 2q2q. For the second term, 9q9q, we also divide it by the GCF, which is 3q3q. This gives us 33.
  3. Write Original Polynomial: After factoring out the GCF, we can write the original polynomial as the product of the GCF and the remaining terms. So, 6q2+9q6q^2 + 9q factored out by the GCF 3q3q is 3q(2q+3)3q(2q + 3).