Polynomials Math Example 5

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Example 5

medium
Subtract (2x3−x+4)(2x^3 - x + 4) from (5x3+3x2−2)(5x^3 + 3x^2 - 2).

Solution

  1. 1
    (5x3+3x2−2)−(2x3−x+4)=5x3+3x2−2−2x3+x−4(5x^3 + 3x^2 - 2) - (2x^3 - x + 4) = 5x^3 + 3x^2 - 2 - 2x^3 + x - 4.
  2. 2
    Combine: 3x3+3x2+x−63x^3 + 3x^2 + x - 6.

Answer

3x3+3x2+x−63x^3 + 3x^2 + x - 6
When subtracting polynomials, distribute the negative sign to every term in the second polynomial, then combine like terms.

About Polynomials

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

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More Polynomials Examples

Example 1 easy

What is the degree of the polynomial [formula]?

Example 2 medium

Add the polynomials [formula] and [formula].

Example 3 medium

Multiply [formula].

Example 4 easy

Classify [formula] by degree and number of terms.

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