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Multiplying a polynomial by a monomial.

Multiplying a polynomial by a monomial. By: India Shepard And Ryan Peterson . What is this about??. This topic is about using the distributive property to find a solution. Sometimes there is more than one number or variable being distributed into the “( )”.

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Multiplying a polynomial by a monomial.

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  1. Multiplying a polynomialby a monomial. By: India Shepard And Ryan Peterson

  2. What is this about?? This topic is about using the distributive property to find a solution. Sometimes there is more than one number or variable being distributed into the “( )”. You must simplify until no more exponets can be added and all like terms are combined.

  3. Method 1. -2x2(3x2-7x+10) Tips: multiply numbers Distributing! Not exponents! -2x²(3x²)= -6x4 and don’t leave out -2x²(-7x)= 14x³ negatives. -2x²(10)= -20x² Combine! -6x4+14x³-20x²

  4. Method 2. (Vertical method) you take -2x² (vertically) and multiply to each #. (3x²-7x+10) (x) -2x² -6x²+14x³-20x²

  5. Practice Problems • w(2w³-9w²) 8.-3y(5y+2) • 5y(-2y²-7y) 9. t(5t-9)-2t 3. -3np(n²-2p) 10. x(3x+4)+2(7x-3 • 6x³(5+3x-11x²) • Cd²(3d+2c²d-4c) • -x(4x²-2x)-5x³ • 5n(2n³+n²+8) +n(4-n)

  6. Answers: 1.2w³ -9w³ 10.3x² + 18x - 6 2. -10y³-35y² 3. -3n³p + 6np 4.30x³ + 18x4 – 66x5 5.3cd³ + 2c³d³ - 4c²d² 6.-4x³+ 2x² - 5x 7. 10n4 +5n³ + 44n 8. 15y² - 6y 9.5t² - 11t²

  7. Resources • www.algebra1.com • http://nlvm.usu.edu/en/nav/vlibrary.html • http://www.glencoe.com/sec/math/prealg/prealg05/study_guide/pdfs/prealg_pssg_G111.pdf • http://www.tutornext.com/multiplication-division-polynomials/880 • http://faculty.stcc.edu/zee/newpage121.htm

  8. Summary tools! • When you are solving this type problem you can use the distributive property to solve. • When solving these problems it is important to watch your symbols and watch your negatives and positives. • When doing the problems using calculator will help you so you don’t make a mistake with mixing up what’s suppose to be positive and negative. • When distributing remember make your variables exponents if there are two or more being multiplied.

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