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Question

Divide the given polynomial by the given monomial.

(i)(5x26x)÷3x

(ii)(3y84y6+5y4)÷y4

(iii)8(x3y2z2+x2y3z2+x2y2z3)÷4x2y2z2

(iv)(x3+2x2+3x)÷2x. [4 MARKS]


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Solution

Solution: 1 Mark each

(i)5x26x=x(5x6)

(5x26x)÷3x=x(5x6)3x=13(5x6)


(ii)3y84y6+5y4=y4(3y44y2+5)

(3y84y6+5y4)÷y4=y4(3y44y2+5)y4=3y44y2+5


(iii)8(x3y2z2+x2y3z2+x2y2z3)=8x2y2z2(x+y+z)

8(x3y2z2+x2y3z2+x2y2z3)÷4x2y2z2=8x2y2z2(x+y+z)4x2y2z2=2(x+y+z)


(iv)x3+2x2+3x=x(x2+2x+3)

(x3+2x2+3x)÷2x=x(x2+2x+3)2x=12(x2+2x+3)


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