polynomials

i found part a, which was -10, but i don't understand how you can use this to state the number of x-intercepts (the answer in the book says there's one intercept). any help would be appreciated :)

hey can someone help me out in sketching y=x^4-8x^2+11 and y=3x^3-x+2 for the first one i tried finding a factor first to long divide which didn't work and then tried using a sub but also couldn't get the intercepts. and second one i got 3 intercepts through long division when there's only...

I'm not sure how to solve this one problem: "If α and β are roots of the equations x²+mx+n=0, find the roots of nx²+(2n-m²)x+n=0 in terms of α and β." I would really appreciate it if someone could show me how to do it. I'm like 9 weeks behind on work lol. Thanks in advance! :D