Question

Simplify the expression using synthetic division.

(9x3 – 69x2 + 132x – 60) ÷ (x – 5)

Answer 1

(x-5)(9x2-24x+12)

Explanation:

1. divide the polynomial by x-5

2.u get the quotient as 9x2-24x+12

3.You can further factorise 9x2-24x+12 into (x-2)(3x-2) then the answer would be (x-5)(x-2)(3x-2) but im not sure if u would need to further factorise it or not so please verify.

Answer 2

For this case we must build a quotient that, when multiplied by the divisor, eliminates the terms of the dividend until reaching the remainder.

It must be fulfilled that:

Dividend = Quotient * Divider + Remainder

In this case we have that the quotient is:

`9x ^ 2-24x + 12`

Answer:

See attached image