Write each polynomial function as a product of linear and/or quadratic factors. Find the zero"s of each functi?

To factorize a polynomial means to break it into the first degree (linear) polynomials that multiplied to make the larger polynomial. X³ - 3x² - x + 3 x²(x - 3) - 1 (x - 3) Look for common factors 1st. (x - 3)(x² -1)...........The binomial that has an x² term is in the form A² - B² = (A + B)(A - B) (x - 3)(x + 1)(x - 1).

The function is y = x^3 -3x^2 -x + 3 ... It is easy to see that x=1 is a root, because y(1) = 0 Then divide the function by (x-1) and get x^2 -2x -3 .... here is a quadratic function with roots x= -1 and x= 3 ... The roots of the function are x=1, x=-1 and x = 3 ... then to factorise it just multiply... y = x^3 -3x^2 -x + 3 = (x-1)(x+1)(x-3) OK!

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