1. Questions

pre cal

Find the zeros of the function algebraically. (Enter your answers as a comma-separated list.)
f(x) = 3x + 18

  1. 👍
  2. 👎
  3. 👁
miranda

  1. Clearly your function is a straight line with a slope of 3
    So it has one zero.
    solve 3x+18 = 0 , etc

    1. 👍
    2. 👎
    👤
    Reiny

  2. however, if you want to go through the math, applicable to more difficult problems,
    3x+18 = 0
    3(x+6) = 0
    Now you have a product whose results is zero. If two numbers multiplied together produce a zero product, then at least one of them must be zero. That is the key to solving these things.
    So, either
    3 = 0 (sorry, no solution here)
    or
    x+6 = 0
    x = -6
    That covers all the possibilities. That is why we factor polynomials and set the product to zero.

    1. 👍
    2. 👎
    👤
    oobleck

Respond to this Question

First Name

Your Response

Similar Questions

  1. Calculus Please Help

    A continuous function f, defined for all x, has the following properties: 1. f is increasing 2. f is concave down 3. f(13)=3 4. f'(13)=1/4 Sketch a possible graph for f, and use it to answer the following questions about f. A. For

  2. calculus

    Find the points on the curve below at which the tangent is horizontal. Use n as an arbitrary integer. (Enter your answers as a comma-separated list.) y = sin x/ 2 + cos x

  3. Pre-Calculus

    f(x) = cos(x) on the interval [−2π, 2π] (a) Find the x-intercepts of the graph of y = f(x). (Enter your answers as a comma-separated list.) (b) Find the y-intercepts of the graph of y = f(x). (Enter your answers as a

  4. Calculus 1

    Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) f(x) = sqrt(x), [0,16]

  1. Calculus

    Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the given interval. (Enter your answers as a comma-separated list.) f(x) = x^4, [0, 4]

  2. trig

    Find all angles θ between 0° and 180° satisfying the given equation. (Enter your answers as a comma-separated list. Round your answers to one decimal place.) cos θ = 1/7

  3. Trig

    Find all angles θ between 0° and 180° satisfying the given equation. (Enter your answers as a comma-separated list. Round your answers to one decimal place.) Sin θ = 1/4

  4. Math

    We can find the solutions of sin x = 0.6 algebraically. (Round your answers to two decimal places.) (a) First we find the solutions in the interval [0, 2π). We get one such solution by taking sin−1 to get x = ________ (smaller

  1. Calculus

    Find the zeros of the function algebraically. (Enter your answers as a comma-separated list.) f(x) = 2x2 − 3x − 20 x =

  2. calculus 1

    Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) f(x) = 4x3 + x2 + 4x

  3. Math

    An equation is given. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.) Find the solutions in the interval:

  4. Calculus 1

    Consider the following. B(x) = 3x^(2/3) − x (a) Find the interval of increase.(Enter your answer using interval notation.) Find the interval of decrease. (Enter your answer using interval notation.) (b) Find the local maximum

You can view more similar questions or ask a new question.