Suppose we wish to find the zeros of f(x) = x3 + 4x2 - 5x - 14 calculator, we get The Factor Theorem: Suppose p is a nonzero polynomial
An important consequence of the Factor Theorem is that finding the zeros of a polynomial is really the same thing as factoring it into linear factors
Here are some examples of using the Factor Theorem Example Find all zeros of P(x) : 6x3 ? To find the other two zeros, solve the quadratic 6x2 ? 17x ?
Use the factor theorem to determine if a polynomial is a factor of another polynomial and then calculate factors of polynomial equations
24 fév 2015 · To understand how to efficiently calculate factors using the TI - 83 calculators Steps for Factoring Using the Integral Zero Theorem
2 Use the Rational Zeros Theorem to determine a list of possible rational zeros of f 3 Graph y = f(x) using your graphing calculator 4 Find all of the
factors of P(x) x3 x2 14x 24, calculate P(3) and P(2) P(3) (3)3 (3)2 14(3) 24 27 9 42 24 0 Since the remainder is zero, P(x) is divisible by x
22 nov 1995 · some such theorem because calculator graphs are neither smooth nor Finding a zero is equivalent to finding a factor, and once we
Apply the Rational Root Theorem to find zeros (Use the Factor Theorem Apply the Remainder Theorem SUGGESTED LEARNING STRATEGIES: Create Representations,
Suppose we wish to find the zeros of f(x) = x3 + 4x2 - 5x - 14 calculator, we get The Remainder Theorem: Suppose p is a polynomial of degree at least 1
Use your Graphing Calculator to graph: f(x)= x3 – 6x2 +9x Algebraically find the zeros of the function and compare these to your graph Factor Theorem:
find the zeroes of a quadratic function, we can factor or use the quadratic formula To find the including synthetic division and the remainder and factor theorems using a calculator or the remainder theorem and any of the original zeroes
understand the definition of a zero of a polynomial function • use long and use the factor theorem Example 1: Use long division to find the quotient and the remainder: 27 5593 ÷ for )( xf and simplify Step 6: Use your calculator to check
procedures are especially valuable in factoring and finding the zeros of polyno- The Remainder Theorem tells you that synthetic division can be used to several ways: (1) a programmable calculator can be used to speed up the calcula -
Example Find all zeros of P(x) : 6x3 ? 29x2 + 20x + 28 Solution: From inspection of the graph [you should set it up on your calculator] we see that