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.

Question

Mathematics

Linda Floyd

7 August, 05:32

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.

+5

Answers (1)

Know the Answer?

Cohen Graham · Answer 1

question 1: correct answer is d none of the other answers are correct because the other expression if you put them for example for the x-6, P (6) ≠0

question 2:correct answer are 2 and 6 send me message if you want me to explain it