Math

Given that kx^3+2x^2+2x+3 and kx^3 -2x + 9 have a common factor,waht are the possible values of k?

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩
  1. if they have a common factor (kx-r) (root x=r/k) then
    k(r/k)^3 + 2(r/k)^2 + 2(r/k) + 3 = k(r/k)^3 - 2(r/k) + 9 = 0
    2(r/k)^2 + 4(r/k) - 6 = 0
    (r/k)^2 + 2(r/k) - 3 = 0
    r/k = -3 or 1

    Now use the equations where f(r/k) = 0 to set a second condition. That will narrow down r and k.

    Of course, it could be that k = a*b, in which case you could have factors (ax-p) and (bx-q) but I expect that is beyond what they want.

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩

Respond to this Question

First Name

Your Response

Similar Questions

  1. module 8 test

    Apply the distributive property to factor out the greatest common factor. 4+10=

  2. Factor out the Greatest Common Factor (GCF)

    Factor out the Greatest Common Factor (GCF): 45d^3-18d^2

  3. Greatest Common factors

    I don't know these answers. Can you help me? Greatest common factor in 1.6y^2-9y+18. 2.4x^2y-7xy 3. 30a^3b-40ab^3 4. factor out greatest common factor in 4x^2-12x+20 5. x^4y-6x^3y-6x^2y 4 and 5 are factoring out the greatest

  4. math

    Apply the distributive property to factor out the greatest common factor. 6+30=6+30

  1. algebra

    Apply the distributive property to factor out the greatest common factor. 24+18t =

  2. Math

    We can rewrite the expression 16 + 8 as 8x(2+1). Notice that 8 is the greatest common factor of 16 and 8. Use this same method to rewrite the expression 24 + 36 as the product of the greatest common factor of 24 and 36 and the sum

  3. MATH

    Factor by identifying a common factor in each term. g) 6xy2 = (3x) (?) h) 25a3b2 = (5a2b2) (?) i) 6x + 6y + 6p Factor: j) x(x+2) + y (x + 2) - 5(x + 2) k) 5y2 - 10y3 l) ax + ay + az Factor: m) yx(y+1) + 4x(y + 1) - 5(y + 1) n) 6p2

  4. Math

    Apply the distributive property to factor out the greatest common factor 9+15=

  1. Maths

    The question is "Show that z-2 is a factor of P(z)= z^3+mz^2+(3m-2)z-10m-4 for all values of m. For what values of m is (z-2)^2 a factor of P(z)?" I've proven the first part, using synthetic division, for all values of m. But the

  2. Math

    Two numbers-- Their greatest common factor is 3. Their least common multiple is 90. How many answers are possible? Explain.

  3. math

    Factor by identifying a common factor in each term. g) 6xy2 = (3x) (?) h) 25a3b2 = (5a2b2) (?) i) 6x + 6y + 6p need help please ?

  4. Math

    Factor out the greatest common factor from this expression using the distributive property. 90+ 60 My answer is 30(3 +2). Here are the other choices: 10 (9+6) , 15(6+4), 6(15+10). Did chose the right one I think I did.

View more similar questions or ask a new question.