1Cademy - Finding the Difference $$(8x^2 + 3x - 19) - (7x^2

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Adding and Subtracting Polynomials

Example

Finding the Difference $(8x^2 + 3x - 19) - (7x^2 - 14)$

Find the difference of the polynomials:

$(8x^2 + 3x - 19) - (7x^2 - 14)$

First, distribute the subtraction by multiplying each term in the second polynomial by $-1$ , which changes their signs:

$8x^2 + 3x - 19 - 7x^2 + 14$

Next, rearrange the terms to group the like terms together:

$8x^2 - 7x^2 + 3x - 19 + 14$

Finally, combine the like terms by adding their coefficients:

$x^2 + 3x - 5$

Updated 2026-05-26

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OpenStax Intermediate Algebra

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Intermediate Algebra @ OpenStax

Ch.5 Polynomials and Polynomial Functions - Intermediate Algebra @ OpenStax

Algebra

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