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A proof question
Suppose 32 = alpha*beta for alpha, beta reatively prime quadratic integers in Q[i] . Show that alpha = epsilon*gamma^2 for some unit epsilon and some quadratic integers gamma in Q[i]. If you know how , please do teach me . Thank
asked by kate on November 15, 2006 
Math ( Polynomial )
This time three questions  1. If (x^2  1 ) is a factor of polynomial ax^4 + bx^3 + cx^2 + dx + e, show that a + c + e = b + d = 0. 2. Let R1 and R2 be the remainders when polynomials x^3 + 2x^2  5ax  7 and x^ 3 + ax^2  12 x +
asked by Jack on April 13, 2013 
Math ( Polynomial )
This time three questions  1. If (x^2  1 ) is a factor of polynomial ax^4 + bx^3 + cx^2 + dx + e, show that a + c + e = b + d = 0. 2. Let R1 and R2 be the remainders when polynomials x^3 + 2x^2  5ax  7 and x^ 3 + ax^2  12 x +
asked by Jack on April 13, 2013 
trig
evaluate the following in exact form, where the angeles alpha and beta satisfy the conditions: sin alpha=4/5 for pi/2 < alpha < pi tan beta=7/24 for pie < beta < 3pi/2 answer choices A. sin(beta+alpha) B. tan(betaalpha) C.
asked by liyah on December 13, 2012 
Math
If alpha and beta are the zeros of the polynomial ax^2 + bx + c then evaluateA. (alpha)^2 / beta + (beta)^2 / alpha B. alpha^2 .beta + alpha.beta^2 C. 1/(alpha)^4 + 1/(beta)^4. Please work the complete solution.
asked by Steve on April 14, 2013 
maths
if alpha and beta are the zeros of the polynomial 2x^24x+5 then find the values of (i)alpha^2+beta^2 (ii)1/alpha^2+1/beta^2 (iii)(r)alpha/beta+(r)beta/alpha (iv)alpha^1+beta^1
asked by echo on June 7, 2012 
Math
If alpha, beta are the zeroes of x22x+3, find a quadratic equation whose roots are (alpha1)(beta+1), (beta1)(beta+1)
asked by nishtha on June 25, 2017 
Calculus
The question will first read in English followed by a reading in French. *************************************** If alpha + 2 beta = pi/4 AND tan beta = 1/3. What would tan alpha mesure? (Keep in mind that pi/4 is the same as 45
asked by Melanie on April 30, 2012 
physics
Two radar stations A and B, are separated by horizontal distance of (a=500 metres), they both track the position of a plane C by recording angles (alpha), and (beta) at 1 second intervals. time (sec) 9 10 11 the angle A(alpha)
asked by ryan on November 17, 2012 
Programming
Why is the output of the code 14, not 8 : alpha=3+5=8? public class Application4{ public static void main(String[] args) { int alpha=3; int beta=5; switch (beta){ case 3:alpha=alpha+3; case 4:alpha=alpha+4; case 5:alpha=alpha+5;
asked by Ashley on October 1, 2019