Q. Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial.3d2−6d
Find GCF of terms: We need to find the greatest common factor (GCF) of the terms 3d2 and −6d. To do this, we look for the highest number and the highest power of d that is common to both terms.The numbers 3 and 6 have a common factor of 3. The variable d is present in both terms, with the lowest power being d1 (since d2 is d∗d and d is d1). Therefore, the GCF is −6d2.
Divide by GCF: Now we divide each term by the GCF to find the remaining factors.For the first term, 3d2 divided by 3d gives us d. For the second term, −6d divided by 3d gives us −2.
Write factored form: We can now write the original polynomial as the product of the GCF and the remaining factors.The factored form of the polynomial is 3d(d−2).