Verify division algorithm i.e, Dividend=Divisor×Quotient+Remainder, in each of the following:
I) 14x2+13x−15
by 7x−4
II) 15z2−20z2−13z−12
by 3z−6
III) 34x−22x3−12x4−10x2−75
by 3x+7
IV) 15y4−16y3−9y2−103y+6
by 3y−2
V) 6y5+4y4+4y3+7y2+27y+6
by 2y3+1
VI) 4y3+8y2+8y+7
by 2y2−y+1
Verify division algorithm i.e, Dividend=Divisor×Quotient+Remainder, in each of the following:
I) 14x2+13x−15
by 7x−4
II) 15z2−20z2−13z−12
by 3z−6
III) 34x−22x3−12x4−10x2−75
by 3x+7
IV) 15y4−16y3−9y2−103y+6
by 3y−2
V) 6y5+4y4+4y3+7y2+27y+6
by 2y3+1
VI) 4y3+8y2+8y+7
by 2y2−y+1