Question

I WILL GIVE YOU 30 POINTS IF YOU ANSWER THIS QUICK!!!!!!!!

You are going to design an advertisement for a new polynomial identity that you are going to invent. Your goal for this activity is to demonstrate the proof of your polynomial identity through an algebraic proof and a numerical proof in an engaging way! Make it so the whole world wants to purchase your polynomial identity and can't imagine living without it! You may do this by making a flier, a newspaper or magazine advertisement, making an infomercial video or audio recording, or designing a visual presentation for investors through a flowchart or PowerPoint. You must: Label and display your new polynomial identity Prove that it is true through an algebraic proof, identifying each step Demonstrate that your polynomial identity works on numerical relationships Warning! No identities used in the lesson may be submitted. Create your own using the columns below. See what happens when different binomials or trinomials are combined. Square one factor from column A and add it to one factor from column B to develop your own identity. Column A Column B (x − y) (x2 + 2xy + y2) (x + y) (x2 − 2xy + y2) (y + x) (ax + b) (y − x) (cy + d)

Answer 1

Discover the new polynomial identity (x + y)² + (cy + d), and see how it unfolds through an algebraic proof and a numerical example. It simplifies equations and reveals deeper insights into polynomial relationships. Learn about graphing polynomials to visualize this identity's universal applicability.

Step-by-step explanation:

Our new identity takes the form:

(x + y) ² + (cy + d) = x² + 2xy + y² + cy + d

And now, let's delve into the algebraic proof!

Consider (x + y) ²:

• (x + y) ² = x² + 2xy + y²

Combine with cy + d:

• x² + 2xy + y² + cy + d

Voilà! The algebraic form of our brand-new identity.

Now, witness the magic with a numerical proof! Let's substitute x = 2, y = 3, c = 4, d = 5:

• (2 + 3) ² = 25
• 4 × 3 + 5 = 17
• 25 + 17 = 42

As calculated:

• 2² + 2 × (2 × 3) + 3² + 4 × 3 + 5 = 42

Experience and learn about graphing polynomials to see how this identity holds up across various values. Transform your algebraic skills today with our indispensable polynomial identity!

Answer 2

x-y * x+y = x^2 -y^2
now how about x^4+64 = x^2 -4x+8 * x^2 +4x+8