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(2x+10)(x−2) As A Trinomial

less than a minute read Jun 16, 2024
(2x+10)(x−2) As A Trinomial

Expanding (2x + 10)(x - 2) into a Trinomial

To express the product of the binomials (2x + 10)(x - 2) as a trinomial, we need to apply the distributive property (also known as FOIL method).

Here's how it works:

  1. First: Multiply the first terms of each binomial: 2x * x = 2x²
  2. Outer: Multiply the outer terms of the binomials: 2x * -2 = -4x
  3. Inner: Multiply the inner terms of the binomials: 10 * x = 10x
  4. Last: Multiply the last terms of each binomial: 10 * -2 = -20

Now, we combine the like terms:

2x² - 4x + 10x - 20

Simplifying further:

2x² + 6x - 20

Therefore, the trinomial representation of (2x + 10)(x - 2) is 2x² + 6x - 20.

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