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Do the long division by removing the highest power of x at each stage:
_________________2x_+_6
_______---------------------
_2x-1_|_4x²_+_10x_-_4
_________4x²_-___2x
_________-------------
_________________12x_-_4
_________________12x_-_6
_________________----------
________________________2
→ (4x² + 10x - 4) ÷ (2x - 1) = 2x + 6 remainder 2.
Checking:
(2x + 6)(2x - 1) + 2 = 4x² -2x + 12x - 6 + 2 = 4x² + 10x - 4 = dividend.
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What is 8x squared over 4x squared simplified?
2
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If: y = x^2 -10x +13 and y = x^2 -4x +7 Then: x^2 -10x +13 = x^2 -4x +7 Transposing terms: -6x +6 = 0 => -6x = -6 => x = 1 Substituting the value of x into the original equations point of contact is at: (1, 4)
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