What is the remainder when you divide 4x3 - 5x2 + 3x - 1 by x - 2?

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Jim G. Share
Dec 16, 2017

Answer:

#17to(D)#

Explanation:

#"using the "color(blue)"remainder theorem"#

#• " the remainder when "f(x)" is divided by "(x-a)" is "f(a)#

#rArr"remainder "=4(2)^3-5(2)^2+3(2)-1=17#

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Rhys Share
Dec 16, 2017

Answer:

Option #D) 17#

Explanation:

We must consider the factor theorem:

#f(a)# is the remainder of #f(x)/(x-a) #

So hence the remainder of #(4x^3 -5x^2 +3x -1 )/(x-2) # is:

#(4*(2)^2) -(5*(2)^2 )+ (3*2) -1 #

#=> = 17 #

Or you could approach this the long way, via division

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