Question

week 7 working backwards! a polynomial has zeros at x = 5 and x = 2. write the zeros as factors. multiply the factors together. what is the equation of the polynomial? x² + 10 x² + 3x - 10 x² - 7x + 10 x² + 7x + 10 possible points: 8.33

Explanation:

Step1: Find the factors

If \(x = 5\) and \(x=2\) are zeros, then the factors are \((x - 5)\) and \((x - 2)\).

Step2: Multiply the factors

\((x - 5)(x - 2)=x\times x-2x-5x + 5\times2=x^{2}-7x + 10\)

Answer:

\(x^{2}-7x + 10\)