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24 February, 19:08

Question 12 information reference tables look at each expression. is it a factor of 8x4 + 2x2 - 45 when this expression is fully factored? select yes or no for expressions a -

d.

a. 2x2 + 3 yes no

b. 2x2 + 5 yes no

c. 2x - 3 yes no

d. 4x2 - 9 yes no

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Answers (1)
  1. 24 February, 20:18
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    8x^4 + 2x^2 - 45 = (2x^2 + 5) (4x^2 - 9) = (2x^2 + 5) (2x + 3) (2x - 3)

    (a) 2x^2 + 3 ... no

    (b) 2x^2 + 5 ... yes

    (c) 2x - 3 ... yes

    (d) 4x^2 - 9) ... no ... not when it is fully factored
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