pre-cal **need help for test in the morning

Find zeros:

  1. 👍 0
  2. 👎 0
  3. 👁 97
asked by Terri

    1. 👍 0
    2. 👎 0
  2. Given:

    Also if the leading coefficient (12) is positive, the function evaluates to -∞ at x=-∞ and to ∞ at x=∞. Thus it crosses the x axis at at least one place, or there is at least one real root.

    In fact, application of Descarte's rule indicate that there are two changes of sign, so there are at least two positive roots. This also means that all three roots are real, since complex roots must come in pairs (conjugates).

    to zero, and solve for the maximum and minimum, if any.
    f'(x)=0 at x=-0.07 and x=6.01
    f(-0.07)=24.52 (maximum)
    so there is a root close to 1 and probably another around -1.

    By numerical methods, such as Newton's method, it should be possible to evaluate the zeroes as:
    x=-0.531, x=0.417, and x=9.031

    (x1+x2+x3)=8.917 = 107/12

    1. 👍 0
    2. 👎 0
  3. Thanks

    1. 👍 0
    2. 👎 0
    posted by Terri

Respond to this Question

First Name

Your Response

Similar Questions

  1. pre-cal

    Find Zeros: F(x)=12x^3-107x^2-15x+24?

    asked by Terri on December 12, 2010
  2. algbrea

    3x-5(3x-7)= 2(x+9) + 45 3x-15x+35= 2x+18 +45 -12x + 35 = 2x+63 -12x -28 = 2x -12 -28 =x -40 =x 3x-5(3x-7)= 2(x+9) + 45 3x-15x+35= 2x+18 +45 -12x + 35 = 2x+63 -10x+35=63 -10x=28 x=-2.8 you are both wrong! 3x - 15x + 35 = 2x + 18 +

    asked by stumped on April 25, 2007
  3. Polynomial Fucntion Problem

    Could you help me with the following problem, I don't understand how to do it. Am I suppose to use the linear factorization theorem? Find an nth degree polynomial function with real coefficients satisfying the given conditions. 1.

    asked by Jen on October 9, 2007
  4. Math

    Can you correct the errors? 4(x+3)=24 4(3x)=24 12x=24 12x/12= 24/12 X=2 5(x+2)=45 5x+10=45 15x=45 15x/15=45/15 x=3 5+4x=13 5+4x-4x=13-4x 5=9x 5/9=9x/9 5/9= x 56=8(x+3) 56=8x+24 56-24=8x+24-24 32=8x 32/32=8x/32 x=8/32 x=1/4

    asked by Lucy Garcia on April 18, 2012
  5. algebra

    1)A.f(x)= x^2+4 B.f(x)= x^2-4x^2+4x-16 C.f(x)= x^2+4x^2+4x+16 D.f(x)= x^2-4x^2-4x+16 2)A.+-1,+-2,+-3,+-6 B.0,+-1,+-2,+-3,+-6,+-1/3,+-2/3 C.+-1,+-2,+-3,+-6,+-1/3,+-2/3 D.+-1,+-3,+-1/6,+-1/3,+-1/2,+-3/2 4)I don't know what they mean

    asked by Marissa on August 17, 2007
  6. calculus

    use the given zeros to find the remaining zeros of the function h(x)=x^4-9x^3+12x^2+138x-1360 zero:3-5i enter the remaining zeros of f please show work

    asked by Heather on December 1, 2012
  7. Pre-Calculus

    Find all the rational zeros of the polynomial, and then find the irrational zeros P(x)= 2x^4+15x^3+31x^2+20x+4

    asked by Drue on September 14, 2014
  8. bobpursly,

    Is this correct now after i revised it Multiply. 3xy^2(5xy-4x+6y) 3xy^2(5xy)=15x^2y^3 3xy^2(-4x)=-12x^2y^2 3xy^2(6y)=18xy^3 so i get from this 15x^2y^3-12x^2y^2+18xy^3 correct awsome i just thought that the 15x^2y^3-12x^2y^2

    asked by jas20 on February 28, 2007
  9. Algebra 1b!

    1. Find the excluded value of x for the polynomomial expression 4x/6 a. 6 b. -6 c. 1/6 d. -1/6 2. Simplifly 3-2x/7 + 4x+5/7 a. 2x+8/14 b. 2x+8/7

    asked by Selena on December 9, 2013
  10. Algebra

    Could you please check my answers? Find an nth degree polynomial function with real coefficients satisfying the given conditions. 1. n=3; 3 and i are zeros; f(2)=20 -I got: f(x)=-4^3+12x^2-4x+12 3.n=3;4 and i zeros;f(-3)=60 -I

    asked by Soly on October 12, 2007

More Similar Questions