Solve each of the following. Write you answer on your answer sheet.
1. What does it mean when we say to completely factor a polynomial?
2. Discuss how you will factor 11 2 + 19 − 6.
3. Explain why 16 − 8 + 2can be factored as either (4 − ) 2 ( − 4) 2 . 4. Student A gives (4 − 1)( − 3) as the answer to a factoring problem. Student B gets (3 − )(1 − 4). Who has the correct answer?
5. Is −6 2 − + 2 factorable? If yes, how will you do it?
1. What does it mean when we say to completely factor a polynomial?
2. Discuss how you will factor 11 2 + 19 − 6.
3. Explain why 16 − 8 + 2can be factored as either (4 − ) 2 ( − 4) 2 . 4. Student A gives (4 − 1)( − 3) as the answer to a factoring problem. Student B gets (3 − )(1 − 4). Who has the correct answer?
5. Is −6 2 − + 2 factorable? If yes, how will you do it?
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Answer:
1.Competely factor means to continuously factor terms until they are in simple terms, meaning you are no longer able to factor. When we completely factor, the coefficient of the variable of at least one factor should be 1.The given expression can be first factored using foil method.
2.first:you get the factors of
and -6
The factors of
is
(x) (11x)
The factor of -6 is
(2)(3)
(1)(-6)
second list down the possible factors:
(x+2)(11x-3)= -3x+22x=19x
(x-3)(11x+2)=. 2x-33x=31x
(x-6)(11x+1)=. x-66x=-65x
(x+1)(11x-6)=. 6x+11x=5x 3.
Step-by-step explanation:
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