Alg2: Greatest Common Factors

Find the greatest common factor of the terms below. 14x ^{4}7x 7x ^{2}7x ^{3}14x 35x ^{2}48xy ^{3}Find the greatest common factor of the two terms. 8xy ^{2}8x ^{2}y^{2}16xy 16xy ^{2}16x ^{2}y^{2}Factor the polynomial by factoring out the GCF. 6x (x - 42 + 24y) 2x (3x - 21x + 8y) 6x (x -7 + 4y) 3x (2x -14 + 8y) 6x ^{2} - 42x + 24xyA rectangle has an area of 56x ^{2}y units^{2}. If the height of the rectangle is 7xy. What is the length of the rectangle. width = h = 7xy A = 56x ^{2}ylength of s = A square has an area of 81y ^{2} inches^{2}. Find the lengthof one side of the square, then find the perimeter ofthe square. s A = 81y ^{2}s perimeter = Which terms below could have a Greatest Common Factor of 5x ^{2}ycheck all that apply. 50x ^{5}y^{6}20y 10 xy ^{2}5x ^{3}y100x ^{2}y^{2}35x ^{4}y^{4}22x ^{2}y15x 24x ^{2}t^{3}Find the greatest common factor of the terms below. GCF = write your answer with no spaces and use the symbol ^ to indicate exponents. example: 2x ^{3}+4 is written 2x^3+436x ^{2}t^{4}54x ^{5}t^{3}15xy ^{5}Find the greatest common factor of the terms below. GCF = write your answer with no spaces and use the symbol ^ to indicate exponents. example: 2x ^{3}+4 is written 2x^3+445x ^{3}y^{3}21x ^{2}y^{4}48x ^{4}Find the greatest common factor of the terms below. GCF = write your answer with no spaces and use the symbol ^ to indicate exponents. example: 2x ^{3}+4 is written 2x^3+432x ^{2}y^{2}64x ^{3}y^{2}Function f(x) is graphed at the right. What might be the factors of this function? x(x-0) x(x+2) (x-2)(x+2) x(x - 2) The function g(x) is graphed at the right. Which maybe the factors of g(x). x(x-1)(x-2) x(x+1)(x+2) x(x+1)(x-2) x(x-1)(x+2) |

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