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Vladimir79 [104]
3 years ago
9

Find constants p and q such that x^4-2x^3-x^2+2x+10=(x^2+px+5)(x^2+qx+2)

Mathematics
1 answer:
likoan [24]3 years ago
7 0

Answer:

p = -4 q = 2

Step-by-step explanation:

  1. Expand the brackets ( yes the entire thing).
  2. group together the values with same co-effiecients; like (q+p)x^3 etc etc.
  3. equate the co-effiecients on the left hand side to the now grouped ones on the right, for example [x^3]: -2x^3= (q+p)x^3, the x^3 cancels and ull get an equation only in terms of p and q. do the same for [x] and ull get an equation with only q, solve this and get the value for q [q = 2].
  4. sub in this value for the [x^3] equation and ull get an answer for p [p= -4].

hope my explanation is understandable lol

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5 0
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One factor of the polynomial is . which expression represents the other factor, or factors, of the polynomial?
stich3 [128]

Your question was incomplete. Please refer the content below:

One factor of a polynomial is (x+1) . which expression represents the other factor, or factors, of the polynomial 2 x² + 3 x + 1 ?

We get that if one factor of the polynomial 2 x² + 3 x + 1 is (x+1), then the other factor is (2x+1).

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brainly.com/question/4142886

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