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Math

Published on Dec 25, 2015

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PRESENTATION OUTLINE

1.

FOIL

  • Multiply each term of one binomial by each term of the other.
  • Combine the like terms
  • Examples:
  • ( x + 4 )( x + 6 )
  • ( 3x + 1 )( x - 6 )
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2.

FACTORING QUADRATIC POLYNOMIALS

  • To factor a polynomial means to transform it to a product of two or more factors. If it cam not be factored, write prime.
  • Examples:
  • X^ + 8x + 12
  • X^ + 15x + 20
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3.

FACTORING QUADRATIC TRINOMIALS- THRID TERM NEGATIVE

  • The method is the same as the last section. Remember that you must subtract when the singes are different .
  • Examples:
  • X^ + 2x - 15
  • X^+ 6x - 10
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4.

FACTORING QUADRATIC TRINOMIALS-FIRST COEFFICIENT NOT 1.

  • YOU HAVE TO GUESS!
  • Examples:
  • 3a^ + 5a + 2
  • 4b^ - 8b + 3
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5.

FACTORING A DIFFERENCE OF TWO SQUARES

  • FAMOUS!
  • Conjugate binomials are binomials are binomials that are the same except for the sign between the terms.
  • The factors of a difference of two squares are conjugate binomials.
  • Examples:
  • X^ - 36
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6.

SQUARING A BINOMIAL

  • To square pattern
  • QUICKLY SQUARE A BINOMIAL!
  • 1. Square the first term
  • 2. Add twice the product of two terms
  • 3. Add the square of the last term
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7.

FACTORING TRINOMIALS SQUARE

  • When you square a binomial, the answer is a TRINOMIAL SQUARE.
  • To determine a if a TRINOMIAL is a TRINOMIAL square:
  • 1. Check the first and last terms. Are they perfect squares?
  • 2. Check the middle term. Is it twice the product of the square roots of the first and last terms?
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