Question

Drag the tiles to the correct boxes to complete the pairs. not all tiles will be used. rewrite the rational expression in the form . then match q(x), r(x), and b(x) to the correct expressions. 2x2 − 7x 6 2x2 − x 3 2x3 − 7x2 6x − 9 x − 3 -9 0 q(x) arrowright r(x) arrowright b(x) arrowright

Answer 1

To rewrite the rational expression, factor the numerator and denominator. Then match q(x), r(x), and b(x) to the correct expressions.

Step-by-step explanation:

To rewrite the rational expression, we need to factor the numerator and denominator completely. Let's go step by step:

Numerator: 2x^2 - 7x + 6

Factoring the numerator, we get: (2x - 3)(x - 2)

Denominator: 2x^2 - x - 3

Factoring the denominator, we get: (2x + 3)(x - 1)

Therefore, the rational expression can be written as:

(2x - 3)(x - 2)/((2x + 3)(x - 1))

To match q(x), r(x), and b(x) to the correct expressions, let's match them:

q(x) = 2x - 3

r(x) = x - 2

b(x) = (2x + 3)(x - 1)