Question

Divide x² + 11x + 16 by x + 8​

Answer 1

`x^2+11x+16=(x+3)(x+8)-8`

Step-by-step explanation:

Use the following (Division algorithm)

Dividend = Divisor × Quotient + Remainder

`x^2+11x+16=x^2+11x+24-8\\=(x^2+8x+3x+24)-8\\=[x(x+8)+3(x+8)]-8\\=(x+3)(x+8)-8\,\,\,(i)`

Here,

Dividend =
`x^2+11x+16`

Divisor =
`x+3`

Quotient =
`x+8`

Remainder =
`-8`