quadratic polynomial

[moronatmath]

Could someone help me with this?

give a quadratic polynomial which has zeros at 10 and 7.


give a quadratic polynomial which has zeros at -3 and 10.

give a quadratic polynomial which has a double root at 9.

 

[stapel]

Just work backwards.

If (x - a)(x - b) = 0, then the quadratic has zeroes at x = a and x = b.

Working backwards, if the quadratic has zeroes at x = a and x = b, then x - a = 0 and x - b = 0, so x - a and x - b were factors, so the quadratic is (x - a)(x - b), which you would then multiply out and simplify.

Eliz.

 

[tkhunny]

Could someone help me with this?

These are eyeball problems.

give a quadratic polynomial which has zeros at 10 and 7.

(x-10)(x-7)

You do the other two.

 

[moronatmath]

Thank you for that tkhunny
Enter a quadratic polynomial which has zeros at -3 and 10
(x+3)(x-10)

Simple enough!

Could someone fill me in what double root is?
Enter a quadratic polynomial which has a double root at 9?

 

[Gene]

Same as the others.
(x-a)(x-a) has a double root at a.

 

[moronatmath]

Thank you gene!