Question

Given the roots of 4 and -2 find the equations of the quadratic.
4 points

Answer 1

p(x) = x² - 2x -8

Explanation:

We need to find the quadratic equation with roots 4 and -2 , we know that if a and ß are the roots of equⁿ , then the polynomial is ,

`\implies p(x) =k[ x^2-(\alpha + \beta)x+\alpha\beta]`

Where k is constant . Substitute respective values ,

=> p(x) = k [ x² - ( a + ß )x + aß ]

=> p(x) = k [ x² - ( 4-2) x + (4)(-2) ]

=> p(x) = k [ x² -2x - 8 ]

If k = 1 ,

=> p(x) = x² - 2x - 8