Factoring Special Cases

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Presentation transcript:

Factoring Special Cases ZERO AND NEGATIVE EXPONENT Factoring Special Cases Unit 8 Lesson 7

Factoring Special Cases Students will be able to: Factor polynomials in Special Cases

ZERO AND NEGATIVE EXPONENT Factoring Special Cases Factoring Special Cases Type 1: Difference of Two Square conditions: The first and last terms are both perfect squares and separated by a subtraction sign.

ZERO AND NEGATIVE EXPONENT Factoring Special Cases Factoring Special Cases Steps in Factoring Difference of Two Square: Step 1: Extract the square root of the first and last term; and Step 2: write it the square root of each term in two parenthesis and separate one of them by (+) sign and (-) sign on the other one.

ZERO AND NEGATIVE EXPONENT Factoring Special Cases Factoring Special Cases Type 2: Perfect Square Trinomials conditions: The first and last term are perfect squares and the middle term is two times the product of the first and last term.

ZERO AND NEGATIVE EXPONENT Factoring Special Cases Factoring Special Cases Step in Factoring a Perfect Square Trinomials: Step 1: Extract the square root of the first and last term; and Step 2: write this two term of binomial in the 2nd power, following the sign of the middle term of the polynomial.

ZERO AND NEGATIVE EXPONENT Factoring Special Cases Sample problem 1: Factor the following difference of two square.

ZERO AND NEGATIVE EXPONENT Factoring Special Cases Sample problem 1: Factor the following difference of two square. Solution: Solution: Answer: Answer:

ZERO AND NEGATIVE EXPONENT Factoring Special Cases Sample problem 1: Factor the following difference of two square. Solution: Solution: Answer: Answer:

ZERO AND NEGATIVE EXPONENT Factoring Special Cases Sample problem 2: Factor the following Perfect square trinomial.

ZERO AND NEGATIVE EXPONENT Factoring Special Cases Sample problem 2: Factor the following Perfect square trinomial. Solution: Solution: Answer: Answer:

ZERO AND NEGATIVE EXPONENT Factoring Special Cases Sample problem 2: Factor the following Perfect square trinomial. Solution: Solution: Answer: Answer: