Question

21x-29x²-10x³ middle term splitting​

Answer 1

Answer:

When splitting the middle term, our objective is to write quadratic expressions as the product of two linear polynomials.

The method for factoring by splitting the middle term is shown in detail in the following tutorial, in which we factor various examples of quadratic expressions.

Suppose you have a polynomial that can be factored as:

(Ax+B)(Cx+D)

Let's multiply this out and simplify the expression.

ACx2+(AD+BC)x+BD

So in terms of the form ax2+bx+c we have:

a=AC

b=AD+BC

c=BD

In these examples we will start from the quadratic expression:

ACx2+(AD+BC)x+BD

And we will try to factor it back into the form:

(Ax+B)(Cx+D)

The goal is to find some combination of factors of ABCD that add up to b=AD+BC