Factor the following polynomial 9x2 + 21x – 18

factors are

21 and x

Step-by-step explanation:

equation 9 × 2 + 21x - 18

terms 9 , 2, 21x, -18

factors 21x = 21 and x

3(x + 3)(3x - 2)

Step-by-step explanation:

Given

9x² + 21x - 18 ← factor out 3 from each term

= 3(3x² + 7x - 6) ← factor the quadratic

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term

product = 3 × - 6 = - 18 and sum = + 7

The factors are + 9 and - 2

Use these factors to split the x- term

3x² + 9x - 2x - 6 ( factor first/second and third/fourth terms )

3x(x + 3) - 2(x + 3) ← factor out (x + 3) from each term

(x + 3)(3x - 2)

Then

9x² + 21x - 18 = 3(x + 3)(3x - 2) ← in factored form

step-by-step explanation:

divide, then simplify your answer.

1. make -15.66 ÷   5.8 a fraction. then divide.

2. simplify.  

3. final answer.  

a)(x-2)^2+(y-1)^2=9

step-by-step explanation:

(picture explains)