Solve the problem.Let t0, ...., tn be distinct real numbers. For p and q in ?n, define 
t0)q(t0) + 
... 
What will be an ideal response?
Axioms 1-3 are readily checked. For Axiom 4, note that 
= [p(t0)]2 + [p(t1)]2 +... 
Also, 
If 
= 0, then p must vanish at n + 1 points: t0, ...., tn. This is possible only if p is the zero polynomial, because the degree of p is less than n + 1.
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Find the absolute extreme values of the function on the interval.f(x) = csc x, - 
? x ? 
A. absolute maximum is 0 at x = -?; absolute minimum is -1 at x = ? B. absolute maximum does not exist; absolute minimum does not exist C. absolute maximum is -1 at x = ?; absolute minimum is 1 at x = 0 D. absolute maximum is 1 at x = ?; absolute minimum is -1 at x = ?
Fill in the digits for the given place values in the following whole number.8,384hundreds 
ones 
A. hundreds: 8, ones: 4 B. hundreds: 8, ones: 3 C. hundreds: 3, ones: 4 D. hundreds: 3, ones: 8
Solve the problem.Find the image of the given figure under the translation that takes P to P'.
A. 
B. 
C. 
D. 
Simplify the complex fraction.
A. 1
B. 12
C. 
D. 