Divide the given polynomial by the given monomial.
(i)(5x2−6x)÷3x
(ii)(3y8−4y6+5y4)÷y4
(iii)8(x3y2z2+x2y3z2+x2y2z3)÷4x2y2z2
(iv)(x3+2x2+3x)÷2x. [4 MARKS]
Solution: 1 Mark each
(i)5x2−6x=x(5x−6)
(5x2−6x)÷3x=x(5x−6)3x=13(5x−6)
(ii)3y8−4y6+5y4=y4(3y4−4y2+5)
(3y8−4y6+5y4)÷y4=y4(3y4−4y2+5)y4=3y4−4y2+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)