Which two equations would be most appropriately solved by using the zero product property? select each correct answer. 4x² = 13 −(x−1)(x+9)=0 0.25x^2+0.8x−8=0 3x^2−6x=0

The two equations that can be solved easily with zero product property are−(x−1)(x+9)=0  3x^2−6x=0for  −(x−1)(x+9)=0, all we need to do to satisfy this equation (make both sides equal the same thing) is have x−1  = 0 or x+9  = 0. solving those, we get solutions of x = 1 and x = -9.those two solutions will make either  one of the factors equal to zero. and since zero times anything is zero, the entire left side of the equation will be 0, making a true statement. this is why it's called the "zero product property"; it is a product with 0.for 3x^2−6x=0, we can easily factor out an x and a 3 to get    3x(x-2)=0that's a product of two factors. either x = 0 or x-2 = 0 to solve.the other equations need square rooting or use of the quadratic formula.