Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Write a polynomial of least degree with roots 11 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 11 and 4-4.\newlineWrite your answer using the variable xx and in standard form with a leading coefficient of 11.\newline______
  1. Find root 11 factor: Find the factor for the root 11: (x1)(x - 1).
  2. Find root 4-4 factor: Find the factor for the root 4-4: (x(4))=(x+4)(x - (-4)) = (x + 4).
  3. Multiply factors: Multiply the factors to get the polynomial: (x1)(x+4)(x - 1)(x + 4).
  4. Perform multiplication: Perform the multiplication: x(x+4)1(x+4)=x2+4xx4x(x + 4) - 1(x + 4) = x^2 + 4x - x - 4.
  5. Combine like terms: Combine like terms: x2+3x4x^2 + 3x - 4.

More problems from Write a polynomial from its roots