How do i multiply problems such as (x+1) (3x^2-4x+6) ?

Try using the box method. When I do it, it makes multiplying trinomials and binomials like these easier.

Here is how I would set up the equation:

as you can see in the picture below I multiplied x by 3x^2, -4x, and positive six which gives me a product of 3x^3 (when multiplying always add the exponents) -4x^2 and 6x. Afterwards I did the same thing by multiplying one to the trinomials (3x^2, -4x and 6). Now to simplify the answer you will add by like terms. So -4x^2 plus 3x^2= -x^2

6x+(-4x)= 2x. Since the only two numbers left (6 and 3x^3 aren’t like terms, you leave it like that. Your answer will be 3x^3 + (-x^2)+2x+6.

let y equal to

the total fare and x is the mile of taxi ride. so the equation is

y = 0.55x + 1.75

since susie has

$10 to spend for a taxi cab, so he can have

10 = 0.55x +

1.75

x = 15 miles of

taxi ride

so the system of

inequality is

10 < 0.55x +

1.75

x > 2

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct