295. Divide a Polynomial by a Monomial In the following exercises, divide each polynomial by the monomial. 296. (9n4 +6n³) ÷ 3n 297. (8x³ + 6x²)+2x 298. (63m¹ - 42m³) ÷ (−7m²) 299. (48y4 - 24y³) ÷ (−8y²) 300. 301. 302. (4u²v5) (15u³v) (12u³v) (u²v) 303. 66x³y2-110x2y³-44x¹y³ 11x²y² 72r5 s²+132r¹s3-967³ g5 12r²g² 10x²+5x-4 -5x 20y² +12y-1 -4y Divide Polynomials using Long Division In the following exercises, divide each polynomial by the binomial. 304. (y² + 7y+12) ÷ (y + 3)

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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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295,300,304
# 5.4 Dividing Polynomials

## Divide a Polynomial by a Monomial

In the following exercises, divide each polynomial by the monomial.

**296.** \( (9n^4 + 6n^3) \div 3n \)

**297.** \( (8x^3 + 6x^2) \div 2x \)

**298.** \( (63m^4 - 42m^3) \div (-7m^2) \)

**299.** \( (48y^4 - 24y^3) \div (-8y^2) \)

**300.** \(\frac{66x^3y^2 - 110x^2y^3 - 44x^4y^3}{11x^2y^2}\)

**301.** \(\frac{72r^5s^2 + 132r^4s^3 - 96r^3s^5}{12r^2s^2}\)

**302.** \(\frac{10x^2 + 5x - 4}{-5x}\)

**303.** \(\frac{20y^2 + 12y - 1}{-4y}\)

## Divide Polynomials using Long Division

In the following exercises, divide each polynomial by the binomial.

**304.** \( (y^2 + 7y + 12) \div (y + 3) \)

**305.** \( (a^2 - 2a - 35) \div (a + 5) \)

**306.** \( (6m^2 - 19m - 20) \div (m - 4) \)

Source: [openstax.org](https://openstax.org)
Transcribed Image Text:# 5.4 Dividing Polynomials ## Divide a Polynomial by a Monomial In the following exercises, divide each polynomial by the monomial. **296.** \( (9n^4 + 6n^3) \div 3n \) **297.** \( (8x^3 + 6x^2) \div 2x \) **298.** \( (63m^4 - 42m^3) \div (-7m^2) \) **299.** \( (48y^4 - 24y^3) \div (-8y^2) \) **300.** \(\frac{66x^3y^2 - 110x^2y^3 - 44x^4y^3}{11x^2y^2}\) **301.** \(\frac{72r^5s^2 + 132r^4s^3 - 96r^3s^5}{12r^2s^2}\) **302.** \(\frac{10x^2 + 5x - 4}{-5x}\) **303.** \(\frac{20y^2 + 12y - 1}{-4y}\) ## Divide Polynomials using Long Division In the following exercises, divide each polynomial by the binomial. **304.** \( (y^2 + 7y + 12) \div (y + 3) \) **305.** \( (a^2 - 2a - 35) \div (a + 5) \) **306.** \( (6m^2 - 19m - 20) \div (m - 4) \) Source: [openstax.org](https://openstax.org)
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