Q. Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial.6q2+9q
Identify Common Factors: To find the greatest common factor (GCF) of 6q2 and 9q, we need to identify the common factors of the coefficients and the variables. The coefficients 6 and 9 have a common factor of 3. The variables q2 and q have a common factor of q, since q2 is q multiplied by itself and q is just q to the first power.
Express Terms with GCF: Now we will express each term with the GCF factored out. For the first term, 6q2, we divide it by the GCF, which is 3q. This gives us 2q. For the second term, 9q, we also divide it by the GCF, which is 3q. This gives us 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+9q factored out by the GCF 3q is 3q(2q+3).