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If the polynomial is divided by, then what will be the quotient and remainder? |
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Answer» Answer: Here, g(x)=3x−1. To apply Remainder theorem, (3x−1) should be CONVERTED to (x−a) form. ∴3x−1= 1
(3x−1)=x− 3 1
∴g(x)=(x− 3 1
) By remainder theorem, r(x)=p(a)=p( 3 1
) p(x)=x 3 −6x 2 +2x−4⇒p( 3 1
)=( 3 1
) 3 −6( 3 1
) 2 +2( 3 1
)−4 = 27 1
− 9 6
+ 3 2
−4= 27 1−18+18−108
= 27 −107
∴ the remainder p( 3 1
)=− 27 107
HOPE it's helpful↑(◍•ᴗ•◍)❤࿐ |
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