What is the solution to the division problem below? (You can use long division or synthetic division.) (4x2 + 5x - 6) (x + 2)

The other factor is 4x-3

Step-by-step explanation:

We want to divide 4x^2 + 5x -6 by x + 2

Unfortunately, we cannot say if x + 2 is a factor or not.

To know if it’s,

we set x + 2 = 0 and this means x = -2

We substitute this into the larger polynomial.

This gives;

4(-2)^2 + 5(-2) -6 = 16 -10-6 = 0

What this actually means is that it is a factor of it since it leaves no remainder.

The issue now is finding this other factor.

So let’s use the long division

(x + 2). _| 4x ^2 + 5x -6

Kindly note that 4x^2/x = 4x, we now multiply this by (x+2) so we get 4x(x+2) = 4x^2 + 8x which we will subtract from 4x^2 + 5x -6

_ 4x_

(x+2). ___|4x^2 + 5x -6

-(4x^2 + 8x)

-3x -6

next is -3x/x = -3

_-4x-3_

(x+2). _| 4x^2 + 5x-6

-(4x^2 +8x)

-3x-6

-(-3x-6)

0

So the other factor is 4x-3

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc