Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Write a polynomial of least degree with roots 66 and 4-4.\newlineWrite your answer using the variable xx and in standard form with a leading coefficient of 11.\newline______

Full solution

Q. Write a polynomial of least degree with roots 66 and 4-4.\newlineWrite your answer using the variable xx and in standard form with a leading coefficient of 11.\newline______
  1. Factor Root 66: Root 66 gives us the factor (x6)(x - 6).
  2. Factor Root 4-4: Root 4-4 gives us the factor (x+4)(x + 4).
  3. Multiply Factors: Now, we multiply the factors: (x6)(x+4)(x - 6)(x + 4).
  4. Perform Multiplication: Let's do the multiplication: x×x+x×46×x6×4x \times x + x \times 4 - 6 \times x - 6 \times 4.
  5. Simplify Expression: Simplify the expression: x2+4x6x24x^2 + 4x - 6x - 24.
  6. Combine Like Terms: Combine like terms: x22x24x^2 - 2x - 24.

More problems from Write a polynomial from its roots