Given:
q(x) = x2-3x + 2 and r(x) = (x-2)/(x-1)
Find:
a. q(x) + r(x)
b. q(x) - r(x)
c. q(x) • r(x)
d.q(x) / r(x)
q(x) = x2-3x + 2 and r(x) = (x-2)/(x-1)
Find:
a. q(x) + r(x)
b. q(x) - r(x)
c. q(x) • r(x)
d.q(x) / r(x)
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Answer:
q(x) = x² - 3x + 2
r(x) = (x - 2)/ (x -1)
a. q(x) + r (x) substitute the value
(x² - 3x + 2) + (x - 2)/ (x -1) get the LCD which is (x - 1) then divide both term
(x - 1)(x² - 3x + 2)+ (x - 2) use distributive property
x³ - 3x² + 2x -x² + 3x - 2 + x - 2 combine like terms
x³ - 4x² + 6x -4