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Algebra 1 – Unit 1-3 Notes
Polynomials
Definition
Standard form
Monomial
Binomial
Trinomial
Polynomial
Coefficient
Examples of adding and subtracting polynomials
Examples of multiplying polynomials (include box method)
Example
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Algebra 1 – Unit 1-3 Examples
Polynomials
Write each polynomial in standard form. Then name each polynomial by its number of terms.
1. 3 + 7𝑥 2 − 9𝑥 5
2. 14𝑥 2 − 2𝑥 3
3. −23𝑣 2 + 7𝑣 + 4
4. 7𝑥
Add or subtract and write in standard form.
5. 11𝑏 4 − 2𝑏 2 − 5𝑏 4 + 16𝑏 2 − 8
6.
(3𝑥 2 + 6𝑥 + 10) − (−7𝑥 + 10 − 9𝑥 2 )
Perform the given operation; write your final results in standard form.
7. 𝑟 11 × 𝑟 8
8. −5𝑥 2 (−3𝑥 3 − 2𝑥 2 + 4)
9. (𝑥 + 4)(𝑥 + 14)
10. (𝑝 + 7)(𝑝 + 8)
11. (8𝑤 − 6)(2𝑤 + 5)
12. −5𝑥 2 (6𝑥 − 9 − 11𝑥 2 )
13. (𝑞 − 6)(𝑞 + 4)
14. (𝑒 + 9)(𝑒 − 9)
15. (𝑤 − 6)2