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.\newline3d26d3d^2 - 6d

Full solution

Q. Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial.\newline3d26d3d^2 - 6d
  1. Find GCF of terms: We need to find the greatest common factor (GCF) of the terms 3d23d^2 and 6d-6d. To do this, we look for the highest number and the highest power of dd that is common to both terms.\newlineThe numbers 33 and 66 have a common factor of 33. The variable dd is present in both terms, with the lowest power being d1d^1 (since d2d^2 is ddd*d and dd is d1d^1). Therefore, the GCF is 6d-6d22.
  2. Divide by GCF: Now we divide each term by the GCF to find the remaining factors.\newlineFor the first term, 3d23d^2 divided by 3d3d gives us dd. For the second term, 6d-6d divided by 3d3d gives us 2-2.
  3. Write factored form: We can now write the original polynomial as the product of the GCF and the remaining factors.\newlineThe factored form of the polynomial is 3d(d2)3d(d - 2).