MULTIPLYING
POLYNOMIALS
MULTIPLYING POLYNOMIALS 2.pptx mathematics
• Rules in Multiplying Polynomials
A. To multiply a monomial by another monomial, simply
multiply the numerical coefficients then multiply the literal coefficients
by applying the basic laws of exponent.
Examples:
• 1.
B. To multiply monomial by a polynomial, simply apply the
distributive property and follow the rule in multiplying monomial by a
monomial.
Examples:
C. To multiply binomial by another binomial, simply distribute the first term
of the first binomial to each term of the other binomial then distribute the second term
to each term of the other binomial and simplify the results by combining similar terms.
This procedure is also known as the F-O-I-L method or Smile method. Another way is
the vertical way of multiplying which is the conventional one.
D. To multiply a polynomial with more than one term by a polynomial
with three or more terms, simply distribute the first term of the first polynomial to
each term of the other polynomial. Repeat the procedure up to the last term and
simplify the results by combining similar terms.
Exercises
A. Simplify each of the following by combining like terms.
1. 6x + 7x
2. 3x – 8x
3. 3x – 4x – 6x + 2x
4. + 3x – 8x +
5. – 5x + 3x – 15
MULTIPLYING POLYNOMIALS 2.pptx mathematics
MULTIPLYING POLYNOMIALS 2.pptx mathematics
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MULTIPLYING POLYNOMIALS 2.pptx mathematics

  • 3. • Rules in Multiplying Polynomials A. To multiply a monomial by another monomial, simply multiply the numerical coefficients then multiply the literal coefficients by applying the basic laws of exponent. Examples: • 1.
  • 4. B. To multiply monomial by a polynomial, simply apply the distributive property and follow the rule in multiplying monomial by a monomial. Examples:
  • 5. C. To multiply binomial by another binomial, simply distribute the first term of the first binomial to each term of the other binomial then distribute the second term to each term of the other binomial and simplify the results by combining similar terms. This procedure is also known as the F-O-I-L method or Smile method. Another way is the vertical way of multiplying which is the conventional one.
  • 6. D. To multiply a polynomial with more than one term by a polynomial with three or more terms, simply distribute the first term of the first polynomial to each term of the other polynomial. Repeat the procedure up to the last term and simplify the results by combining similar terms.
  • 7. Exercises A. Simplify each of the following by combining like terms. 1. 6x + 7x 2. 3x – 8x 3. 3x – 4x – 6x + 2x 4. + 3x – 8x + 5. – 5x + 3x – 15