Polynomials Math Example 2

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Example 2

medium
Add the polynomials (3x2+2x−5)(3x^2 + 2x - 5) and (x2−4x+3)(x^2 - 4x + 3).

Solution

  1. 1
    Align like terms: (3x2+x2)+(2x+(−4x))+(−5+3)(3x^2 + x^2) + (2x + (-4x)) + (-5 + 3).
  2. 2
    Combine: 4x2−2x−24x^2 - 2x - 2.
  3. 3
    The result is a polynomial of degree 2.

Answer

4x2−2x−24x^2 - 2x - 2
To add polynomials, combine like terms (terms with the same variable raised to the same power). The degree of the sum is at most the larger degree of the two polynomials.

About Polynomials

An expression built by adding terms that consist of constants multiplied by variables raised to non-negative integer powers.

Learn more about Polynomials →

More Polynomials Examples

Example 1 easy

What is the degree of the polynomial [formula]?

Example 3 medium

Multiply [formula].

Example 4 easy

Classify [formula] by degree and number of terms.

Example 5 medium

Subtract [formula] from [formula].

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