My Learning Cart
?
Categories
Account

Which polynomial has a root at x = 2?

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

Question: Which polynomial has a root at x = 2?

Options:

  1. x^2 - 4
  2. x^2 + 4
  3. x - 2
  4. x + 2

Correct Answer: x^2 - 4

Solution: 

x^2 - 4 = 0 has roots at x = 2 and x = -2.

Which polynomial has a root at x = 2?

Practice Questions

Q1
Which polynomial has a root at x = 2?
  1. x^2 - 4
  2. x^2 + 4
  3. x - 2
  4. x + 2

Questions & Step-by-Step Solutions

Which polynomial has a root at x = 2?
Correct Answer: x^2 - 4 = 0
  • Step 1: Understand what a root of a polynomial is. A root is a value of x that makes the polynomial equal to zero.
  • Step 2: We want to find a polynomial that has a root at x = 2. This means we need to create an equation that equals zero when we substitute x with 2.
  • Step 3: Start with the simplest polynomial form, which is (x - 2). This polynomial will equal zero when x = 2.
  • Step 4: To create a polynomial, we can square (x - 2). This gives us (x - 2)(x - 2) = (x - 2)^2.
  • Step 5: Expand (x - 2)^2 to get x^2 - 4x + 4. This is a polynomial that has a root at x = 2.
  • Step 6: Alternatively, we can use the polynomial x^2 - 4, which can be factored as (x - 2)(x + 2). This also has a root at x = 2.
No concepts available.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks