Question

Part 1 : show all work in simplifying 9x^2-57x+34/3x^2-11x-34 (list restrictions)
Part 2: use complete sentences to explain your process

Answer 1

[9X² - 57X + 34 ]/ [3X² - 11X - 34]

On factorising, we get:

[(X-17/3)(X-2/3)] / [(X-17/3)(X+2)]

Dividing both the numerator and the denominator by (X-17/3), we get:

(X-2/3) / (X+2)

We may further simplify the expression:

(X-2/3) / (X+2) = (3X-2) / (3X+6) = 1 - [8 / (3X+2)]

Restrictions: X cannot be equal to -2, because this would result in the denominator being zero, and hence an occurrence of division by zero.

Answer 2

thanks :)

Answer 3

Yw :)