For the polynomial below 1 is a zero

Question

h(x)=x³-7x²+13x-7

Express h(x) as a product of linear factors

Answer 1

h)x) = x³ - 7x² + 13x - 7 = x³ - x² - 6x² + 6x + 7x - 7 = x²(x - 1) - 6x(x - 1) + 7(x - 1) = (x - 1)(x²- 6x + 7) =

(x - 1)(x - 3 - √2)(x - 3 + √2)