Q. Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial.6d2−5d
Find GCF of terms: We need to find the greatest common factor (GCF) of the terms 6d2 and −5d. To do this, we look for the highest power of d that is in both terms and the largest number that divides both coefficients.The highest power of d common to both terms is d (since d2 has d and −5d has d).The largest number that divides both 6 and −5d0 is −5d1.So, the GCF of 6d2 and −5d is d.
Factor out GCF: Now we will factor out the GCF from each term.For the term 6d2, we divide it by d to get 6d.For the term −5d, we divide it by d to get −5.
Write as product: We write the original polynomial as the product of the GCF and the remaining factors.6d2−5d=d(6d−5)