Multiplying Polynomials. Adapted from Walch Education. Key Concepts. To multiply two polynomials, multiply each term in the first polynomial by each term in the second. The Distributive Property can be used to simplify the product of two or more polynomials. - PowerPoint PPT Presentation
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Multiplying PolynomialsAdapted from Walch Education
Key Concepts To multiply two polynomials, multiply each term in
the first polynomial by each term in the second.
The Distributive Property can be used to simplify the product of
two or more polynomials. FOIL- another way to represent the product
(a + b)(c + d) = ac + ad + bc + bd. 24.2.2: Multiplying
Polynomials
Key Concepts, continuedIf either polynomial has three or more
terms, i.e(a + b + c)(d + e + f ) = (a + b + c)d + (a + b + c)e +
(a + b + c)f = ad + bd + cd + ae + be + ce + af + bf + cf.
To find the product of a variable with a coefficient and a
numeric quantity, multiply the coefficient by the numeric quantity.
If a and b are real numbers, then ax b = abx.
34.2.2: Multiplying PolynomialsKey Concepts, continuedTo find
the product of two variables raised to a power, use the properties
of exponents. If the bases are the same, add the exponents: xn xm =
xn + m. If the bases are not the same, then the exponents cannot be
added. xn ym = xnym.
After multiplying all terms, simplify the expression by
combining like terms. The product of two polynomials is a
polynomial, so the system of polynomials is closed under
multiplication. 44.2.2: Multiplying PolynomialsPractice (in
class)Find the product of (x3 + 9x)(x2 + 11).
Find the product of (3x + 4)(x2 + 6x + 10).
54.2.2: Multiplying PolynomialsThanks for Watching!!!~Ms.
Dambreville
