Question

Using factor method divide the following polynomial by a binomial question is x square - 7 x minus 18 by x minus 9

Answer 1

Answer:

Quotient = x + 2

Remainder = 0

Step-by-step explanation:

Given expression,

$(x^2 - 7x + 18)\div (x-9)$

Since,

By middle term splitting,

$x^2 - 7x + 18 = x^2 - 9x + 2x + 18$

$=x(x-9) +2(x-9)$

$=(x+2)(x-9)$

Thus,

$\frac{x^2 - 7x + 18}{x-9}=\frac{(x+2)(x-9)}{x-9}=x + 2$

Answer 2

Answer:

X+2

Step-by-step explanation:

x²- 7x- 18 =x²- 9x+2x-18

-------------

.x- 9

=x(x-9)+2(x-9)

----------------

x- 9

=(x+2) ( x-9)

----------------

(x-9)

=x+2: