Question

The sum of two binomials is 5x^2-6x . If one of the binomials is3x^2-2x , what is the other binomial?

Answer 1

Its 2x^2-4x, to check it add it to 3x^2-2x or
2x^(2)-4x+3x^(2)-2x

Answer 2

Binomials are polynomials of two terms

The other binomial is $2x^2-4x$

The sum of the binomials is given as:

$Sum = 5x^2 - 6x$

Represent the two binomials with y and z.

Such that:

$y = 3x^2 - 2x$

So, we have:

$Sum = y + z$

Make z the subject

$z = Sum - y$

Substitute $Sum = 5x^2 - 6x$ and $y = 3x^2 - 2x$

$z = 5x^2 - 6x - (3x^2 -2x)$

Open brackets

$z = 5x^2 - 6x - 3x^2 +2x$

Collect like terms

$z = 5x^2 - 3x^2- 6x +2x$

$z = 2x^2-4x$

Hence, the other binomial is $2x^2-4x$

Read more about binomial at:

https://brainly.com/question/12666652