Mathematics, 14.03.2020 03:22, eyeneedalife
Question 1: The polynomial P(x)=x^3−6x^2+6x−23 can be rewritten as P(x)=(x^2+6)(x−6)+13.
Which expression is a factor of P(x)?
a. x^2+6
b. x−6
c. 13
d. none of these
Question 2: Petra is practicing factoring by grouping. She wants to factor the polynomial 16xy−4x^2+28y−7x. Her work is shown below.
16xy−4x^2+28y−7x
4x(4y−x)+7(4y−x)
(4x+7)(4y−x)
Which statements regarding Petra’s work are true?
There may be more than one correct answer. Select all correct answers.
1. The constant 7 is not the greatest common factor of 28y−7x.
2. Petra is correct.
3. The product of Petra’s factors is not the original polynomial.
4. The monomial 4x is not the greatest common factor of 16xy−4x^2.
5. Petra is incorrect.
6. The product of Petra’s factors is the original polynomial.
Answers: 1
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Question 1: The polynomial P(x)=x^3−6x^2+6x−23 can be rewritten as P(x)=(x^2+6)(x−6)+13.
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