Question

In a division problem the divisoris (a² + 2a - 1), quotient is (5a - 14) and reminder is (35a - 17). Find the dividend. ​

Answer 1

Answer:

$5 {a}^{3} - 4 {a}^{2} + 2a - 3$

Step-by-step explanation:

We know,

$dividend \: = divisor \times quotient + remainder$

Given information:

Divisor =

$( {a}^{2} + 2a - 1)$

Quotient =

$(5a - 14)$

Remainder =

$(35a - 17)$

Thus, we can place the values in the formula.

Therefore,

$dividend \: = ( {a}^{2} + 2a - 1)(5a - 14) + (35a - 17)$

$= 5 {a}^{3} + 10 {a}^{2} - 5a - 14 {a}^{2} - 28a + 14 + 35a - 17$

$= 5 {a}^{3} - 4 {a}^{2} + 2a - 3(ans.)$

I hope this helps you.