We define the ring homomorphism by a) Show that the kernel of is <x3 -2>, and...

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Question

We define the ring homomorphism V : Q2 +R by vf(x) = f[V2

a) Show that the kernel of $\psi$ is <x³ -2>, and that the image is Q(72) = a +672 +c72* a, b, c € 0

b) Conclude that Q(2) is a subfield of $\mathbb{R}$

SOLVE B only please

math Advanced-Math

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Answer 1

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8 (352) is a sublield. (8 (352) = { a+b. 2 B & c. 27 a, b, c E.G} Ia harb. 2 13 & C. 23. a,b,c6g now 16 Q1372) 70 2 -:10 1+0. y = a + b 213 + 02. 213 I ya 5 mo at 62 2 13 + C2.2 3. - a2 + 2/3 (32+ 2.62) an - 02:213 ( b 2 + 2 (2) + 24 (64265) (22+2 13

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