Find the remainder after dividing left- 6- y - 5 -15- y - 4 -16- y - 3 -4- y - 2 -10y-35 right- by left- 3- y - 2 -5 right-

Question

Find the remainder after dividing left- 6- y - 5 -15- y - 4 -16- y - 3 -4- y - 2 -10y-35 right-  by left- 3- y - 2 -5 right-

Toppr Admin · Accepted Answer

We divide 6y5-15y4-16y3-4y2-10y-x2212-35 by 3y2-5 as shown in the above image-From the above division- we get that the quotient is 2y3-5y2-2y-x2212-7 and the remainder is 0Hence- the remainder is 0-

Dividend		Divisor
(i)	14x² + 13x − 15	7x − 4
(ii)	15z³ − 20z² + 13z − 12	3z − 6
(iii)	6y⁵ − 28y³ + 3y² + 30y − 9	2y² − 6
(iv)	34x − 22x³ − 12x⁴ − 10x² − 75	3x + 7
(v)	15y⁴ − 16y³ + 9y2 − $\frac{10}{3}$ y + 6	3y − 2
(vi)	4y³ + 8y + 8y² + 7	2y² − y + 1
(vii)	6y⁵ + 4y⁴ + 4y³ + 7y² + 27y + 6	2y³ + 1

Find the remainder after dividing $(6 y^{5} + 15 y^{4} + 16 y^{3} + 4 y^{2} + 10 y - 35)$ by $(3 y^{2} + 5)$

We divide $6 y^{5} + 15 y^{4} + 16 y^{3} + 4 y^{2} + 10 y - 35$ by $3 y^{2} + 5$ as shown in the above image:

From the above division, we get that the quotient is $2 y^{3} + 5 y^{2} + 2 y - 7$ and the remainder is $0$

Hence, the remainder is $0$ .

Find the remainder after dividing (6y5+15y4+16y3+4y2+10y−35) by (3y2+5)

We divide 6y5+15y4+16y3+4y2+10y−35 by 3y2+5 as shown in the above image:From the above division, we get that the quotient is 2y3+5y2+2y−7 and the remainder is 0Hence, the remainder is 0.

Find the remainder after dividing $(6 y^{5} + 15 y^{4} + 16 y^{3} + 4 y^{2} + 10 y - 35)$ by $(3 y^{2} + 5)$

We divide $6 y^{5} + 15 y^{4} + 16 y^{3} + 4 y^{2} + 10 y - 35$ by $3 y^{2} + 5$ as shown in the above image:

From the above division, we get that the quotient is $2 y^{3} + 5 y^{2} + 2 y - 7$ and the remainder is $0$

Hence, the remainder is $0$ .