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#80For this problem I have tofactorthis polynomial: w2 + 30w +81W2+ 30w +81 The GCFfor this polynomial is w. The Prime Factor of this problem is 81. Now I have to find two numbers that add up to 30 but will multiply to 81. The Prime Factorof 81 is 3 and 27 because 3 X 27 = 81 Answer is (w + 3)(w +27)I can check this by multiplying back together: w2+3w + 27w +81 = w2+30w +81#106I have to factor this polynomialac + xc + aw2+ xw2The four terms means start with grouping. ac + xc and aw2+ xw2 I have to factorout the common term for both the groups.c(a + x) c is the GCFof the first group and it factored out like this c(a + x)w2(a + x) For the second group the GCFis w2 which factored out to w2(a + x)Now I have to write it as an equation which would look like this c(a + x) + w2(a + x) or (c(a + x) + w2(a + x)Now I have to factor(a + x) which equals (a+x)(c + w2)So the answer is (a+x)(c + w2)If you multiply it back together it is: ac + xc + aw2+ xw2#68I will factor the following 10a