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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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**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 = 4ab + 10a2 = 8p4q3 + 6p3q2 = 2y + 4y2 + 16y3=**Factoring Trinomials—with a coefficient of 1 for the**squared term • Factor: • A trinomial will always factor as two binomials • Multiply to the last number and add to the middle: • Check using FOIL:**Factoring Trinomials**Standard form of a quadratic trinomial Constant term Quadratic term Linear term**Factoring Trinomials TIP** If you study the signs of the trinomial carefully they can help you to determine the signs of the binomials Binomials have same signs They both have this sign**Factoring Trinomials TIP** If you study the signs of the trinomial carefully they can help you to determine the signs of the binomials Binomials have same signs They both have this sign**Factoring Trinomials TIP** If you study the signs of the trinomial carefully they can help you to determine the signs of the binomials Binomials have opposite signs Put larger number with this sign**Factoring Examples**• Factor**Factoring Examples**• Factor**Factoring Examples**• Factor**Factoring Examples**• Factor**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.**Practice**• x2 – 3x – 10 • x2 + 8x – 9 • x2 – 4x – 12 • x2 – 13x + 40 • x2 + 6x + 9 • x2 + 14x + 48**Class work**• Pg. 181 #2 to 30 even • Pg. 185 #2 to 46even

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