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Factoring

Factoring. Factoring—define factored form. Factor means to write a quantity as a multiplication problem a product of the factors. Factored forms of 18 are:. Factoring: The Greatest Common Factor. Factor each of the following by factoring out the greatest common factor:. 5x + 5 =

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Factoring

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  1. Factoring

  2. Factoring—define factored form • Factor means to write a quantity as a multiplication problem • a product of the factors. • Factored forms of 18 are:

  3. Factoring: The Greatest Common Factor • Factor each of the following by factoring out the greatest common factor: 5x + 5 = 4ab + 10a2 = 8p4q3 + 6p3q2 = 2y + 4y2 + 16y3=

  4. Factoring Trinomials—with a coefficient of 1 for the squared term • Factor: • List the factors of 20: • Select the pairs from which 12 may be obtained • Write the two binomial factors: • Check using FOIL:

  5. Factoring Trinomials TIP  If the last term of the trinomial is positive and the middle sign is positive, both binomials will have a positive sign.

  6. Factoring Trinomials TIP  If the last term of the trinomial is positive and the middle sign is negative, both binomials will have a negative sign.

  7. Factoring Trinomials—with a coefficient of 1 for the squared term • Factor • List the factors of -22 • Select the pair from which –9 may be obtained • Write the two binomial factors: • Check using FOIL:

  8. Factoring Trinomials TIP  If the last term of the trinomial is negative, the binomials will have opposite signs.

  9. Factoring Trinomials—primes • A PRIME POLYNOMIAL cannot be factored using only integer factors. • Factor : • The factors of 5: 1 and 5 or -1 and -5. • Since –2 cannot be obtained from them, the polynomial is prime.

  10. Practice • x2 – 3x – 10 • x2 + 8x – 9 • x2 – 4x – 12 • x2 – 13x + 40 • x2 + 6x + 9 • x2 + 14x + 48

  11. Homework • Pg. 182 #4 to 30 even • Pg. 185 #2 to 30 even

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