Real Zeros of Polynomials on a Graphing Calculator

When exploring the real zeros of polynomials, a graphing calculator becomes an invaluable tool. These calculators efficiently display the intersections of the polynomial curve with the x-axis, revealing the precise points where the polynomial equals zero. This process aids in understanding the behavior of the polynomial function and identifying its roots without manual calculation. By simply inputting the polynomial equation, users can visualize the graph and discern the real zeros, providing a clear and efficient method for mathematical analysis and problem-solving.

Questions
  • How do we find the number of distinct real roots of the equation #x^4-4x^3+12x^2+x-1=0# without using graph?
  • How do I use a graphing calculator to find the real zeros of #y=(x-12)^3-7#?
  • How do the real zeros of a quadratic function relate to the x-intercepts of its graph?
  • How do I use a graphing calculator to find the real zeros of #f(x)=x^4+x^3-11x^2-9x+18#?
  • Hello friends, please, I need to know how to get the answer out of this exponential equation? thank you
  • I do find a polynomial such as #P(-3) = 0# #P(4) = 0# and #P'(-sqrt(3)) = 0# #P'(e) = 0# ?
  • What is the greatest possible integer value of #x# for which #sqrt(x-5)# is an imaginary number?
  • Which of the following is a negative integer if i= #sqrt(-1)#? A) #i^24# B) #i^33# C) #i^46# D) #i^55# E) #i^72#
  • If #2-i# is a zero of #x^3+ax^2-3x+b# where #a# and #b# are real, then what are their values?
  • If #3+i# is a root of the equation #y=x^4-3x^3-36x^2+198x-280#, find the sum of the squares of the real roots?
  • How many real roots does this polynomial have? f (x) = 4x^5 + x^3 + 7x - 2 Options: a) 1 b) 3 c) 4 d) 5
  • What is all of the real and imaginary zeros of #y=(x^2-9)(x^2+9)(x+3)^2#?
  • Why can't you take the log of a negative number?
  • Could someone State the possible number of imaginary zeros of #f(x)= 2x^3 - 4x^2 + 8x - 3#?
  • What is the value of k?
  • Given #f(x) = x^2+kx+k#, which of the following statements is true?
  • How do I find the real zeros of a polynomial function on an Nspire?