In Exercises 18, evaluate the determinant of the given matrix by (a) cofactor expansion and (b) using elementary row operations to introduce zeros into the matrix.

Anisia Jackson MAT 102 Mrs. Walker TopicWrite Up #1 13 January 2018 Simplifying a ratio of polynomials using GCF factoring Sources: ALEKS & YouTube https://www.youtube.com/watchv=SmBnBwvpXU Connection to last topic: In the last topic we only factor polynomials using GCF. Now we simplify the ratio of a polynomial using the GCF as well. Real life application: A real life application would be separating clothes. You would put the vneck in a separate pile while the crew neck are in another pile. Separating clothes that are familiar will help you cancel out the shirts that do not have the same collar design. Simplify. 6w −10w 2 2w −4w Step 1: Factor the numerators with the GCF ( Greatest Common Factor) Which would be 2w So we have 2 −6w −10w=2 w(3w−5) Step2: Factor the denimonators with the GCF Which would be 2w 2 2 w −4w=2 w(w−2) Step3: Now we will rewrite the fractions form and cancel the common factor 2w 2 6w −10w = 2w(3w−5) = 3w−5 2w −4w 2w(w−2) w−2