Question

Find all the zeroes of f(x) = 2x4
– 2x3 – 7x2
+ 3x + 6 if two of its zeroes are
2
3 and -
2
3 .

Answer 1

Answer:

(x-√3/2)(x+√3/2)=x²-3/2

g(x)=x²-3/2

p(x)=2x^4-2x³-7x²+3x+6

then q(x)=2x²-2x-4

⇒2x²-2x-4=2x²+2x-4x-4=2x(x+1)-4(x+1)=(2x-4)(x+1)

⇒2x-4=0         or               ⇒  x+1=0

⇒x=2               or                ⇒  x= -1

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Answer 2

Answer:

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