Wednesday

April 23, 2014

April 23, 2014

Posted by **Anonymous** on Friday, March 8, 2013 at 8:27am.

- algebra -
**Steve**, Friday, March 8, 2013 at 11:27amIf we let

f(x) = (k1 x-r1)(k2 x-r2)...(kn x-rn)

then (r1/k1)(r2/k2)...(rn/kn) = 1024/1

Now, 1024 = 2^10, so all the k's are 1, and all the r's multiplied together are 2^10

the possible distinct roots are

2,4,8,16

so, f(x) = (x-2)(x-4)(x-8)(x-16) + 1024

has 4 values of x such that f(x) = 1024.

I'd say 3 is the max d such that there are n>d places where f(x) = 1024

If I'm way off base here, let me know. I'd be interested in how it's supposed to be done. What are you studying in the class now?

**Related Questions**

intermediate algebra - A triangle is such that the largest angle is 11 times ...

intermediate algebra - A triangle is such that the largest angle is 11 times the...

Algebra - Let N=1!*2!*3!*4!…9!*10! .Let 2^k be the largest power of 2 that ...

Math (algebra) - For every positive integer n, consider all monic polynomials f(...

Maths - Find the largest possible value of n, such that there exists n real ...

****college algebra**** - Let h(x) = 3x + 4. For what value of x is (h o h)(x...

Maths - Find the largest possible value of n, such that there exists n real ...

Algebra - The world's largest lollipop weighs 2220 pounds, which is 10,126 ...

****college algebra**** - Let g(x) = -2x + 8 and h(x) = 3x + 4. For what value ...

calculus - Let f(x) = (x+1)/(x-1). Show that there are no vlue of c such that f(...