A. alright we can factor out the b² from everybody
b²(5x²+14x-3) use ac method for ax²+bx+c multiply ac, and remember te result find what 2 numbers multiply to ac and add to get b split b up into those 2 numbers factor it's confusing so see example below so
b²(5x²+14x-3) 5 times -3=-15 what 2 numbers multiply to get -15 and add to get 14? 15 and -1 b²(5x+15x-1x-3) group b²((5x²+15x)+(-1x-3)) b²(5x(x+3)-1(x+3)) factor b²(5x-1)(x+3)
B. what 2 numbers multiply to get 81 and add to get -18? -9 and -9 (x-9)(x-9) or (x-9)²
C. diff of 2 perfect squares remember a²-b²=(a+b)(a-b) so x²-11²=(x+11)(x-11)
The coefficient is known as "the number in front of the letter,' so since 5 is in front of the x, 5 would be the leading coefficient, especially since the outcome would be 5x+881.