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yawa3891 [41]
3 years ago
10

Which polynomials are prime? Check all that apply.

Mathematics
2 answers:
FromTheMoon [43]3 years ago
10 0
The awnser is A,D,and E
KIM [24]3 years ago
6 0

Answer:

The prime polynomials are 1, 4 and 5

Step-by-step explanation:

Given some polynomials we have to classify the polynomials prime or not.

Prime polynomials are the polynomial with integer coefficients that cannot be factored into lower degree polynomials.

15x^2 + 10x - 9x + 7

⇒ 5(3x+2)-(9x-7)

can't be factored into lower degree polynomial ∴ prime polynomial.

20x^2 - 12x + 30x - 18

⇒ 4x(5x-3)+6(5x-3)

⇒ (4x+6)(5x-3)

hence, not a prime polynomial.

6x^3 + 14x^2 - 12x - 28

⇒ 2x^2(3x+7)-4(3x+7)

⇒ (2x^2-4)(3x+7)

hence, not a prime polynomial.

8x^3 + 20x^2 + 3x + 12

⇒ 4x^2(2x+5)+(3x+20)

can't be factored into lower degree polynomial ∴ prime polynomial.

11x^4 + 4x^2 - 6x^2 - 16

⇒ x^2(11x^2+4)-2(3x^2+8)

can't be factored into lower degree polynomial ∴ prime polynomial.

The prime polynomials are 1, 4 and 5

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