1.

Find the remainder when p(y)= 4y³-12y²+5y-4 divided by 2y-1​

Answer»

Answer:

Denominator = 2X - 2

★ x+3(2x−2)+3=23\green{\BOXED{\tt{\red{\FRAC{x + 3}{(2x - 2) + 3} = \frac{2}{3}}}}}

(2x−2)+3

x+3

=

3

2

⟹x+3(2x−2)+3=23\tt{\IMPLIES} \: \dfrac{x + 3}{(2x - 2) + 3} = \dfrac{2}{3}⟹

(2x−2)+3

x+3

=

3

2

⟹3(x+3)=2(2x−2+3)\tt{\implies} \:3(x + 3) = 2(2x - 2 + 3)⟹3(x+3)=2(2x−2+3)

⟹3x+9=4x−4+6\tt{\implies} \:3x + 9 = 4x - 4+ 6⟹3x+9=4x−4+6

⟹3x+9=4x+2\tt{\implies} \:3x + 9 = 4x + 2⟹3x+9=4x+2

⟹4x−3x=9−2\tt{\implies} \:4x - 3x= 9 - 2⟹4x−3x=9−2

⟹x=7\tt{\implies} \:x = 7⟹x=7


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