Loading...
[PDF] 6 The factor theorem
The factor theorem Geometric version If f(x) is a polynomial whose graph crosses the x-axis at x=a, then (x
[PDF] 23 Factor and remainder theorems
1 Factorise polynomial expressions 2 3 2 Divide a polynomial by a linear or quadratic factor 2 3 3 Apply the remainder theorem 2 3 4 Apply the factor theorem
[PDF] 32 The Factor Theorem and The Remainder Theorem
In this case, The Remainder Theorem tells us the remainder when p(x) is divided by (x - c), namely p(c), is 0, which means (x - c) is a factor of p What we
[PDF] The Remainder Theorem If a polynomial f(x) is divided by (x ba) then
Corollary (The Factor Theorem) A polynomial f(x) has (x b a) as a factor if and only if f(a) = 0 The Remainder Theorem follows immediately from the definition
[PDF] The Remainder Theorem and the Factor Theorem
Factor Theorem: The value a is a root of the polynomial p(x) if and only if (x?a) is a factor of p(x) Proof: 1 (=?) Assume that a is a root of the
[PDF] The Factor Theorem
The Factor Theorem Chapter 11 11-4 BIG IDEA If P(x) is a polynomial, then a is a solution to the equation P(x) = 0 if and only if x - a is a factor of
[PDF] Zeros of a Polynomial Function
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
[PDF] Factor Theorem Examples And Solutions
2 Remainder and Factor Theorems Interactive Mathematics Factor theorem state with proof examples and solutions factorise the Polynomials Maths Mutt
[PDF] 428 - The Factor Theorem - Scoilnet
4 2 8 - The Factor Theorem 4 2 - Algebra - Solving Equations Leaving Certificate Mathematics Higher Level ONLY 4 2 - Algebra - Solving Equations
[PDF] AMSG11Remainder and Factor Theorempdf
remainder and factor theorems to factorise and to solve polynomials that are of degree higher than 2 From the above examples, we saw that a polynomial
[PDF] 11Remainder and Factor Theorem (A)
remainder and factor theorems to factorise and to solve polynomials that are of degree higher than 2 Before doing so, let us review the meaning of basic
[PDF] 32 The Factor Theorem and The Remainder Theorem
This means that we no longer need to write the quotient polynomial down, nor the x in the divisor, to determine our answer -2 x3+4x2- 5x -14 2x2 12x 14 x3 6x2
[PDF] 1 31 THE REMAINDER THEOREM AND THE FACTOR - CSUN
Dividing Polynomial by Binomial Using Long Division Example 3 Use long division to divide the first polynomial by the second: 3 8 5 4 2 + + − − xx
- PDF document for free
![[PDF] 1 31 THE REMAINDER THEOREM AND THE FACTOR - CSUN](https://pdfprof.com/EN_PDFV2/Docs/PDF_6/101389_63_1TheRemainderTheoremAndTheFactorTheorem.pdf.jpg "[PDF] 1 31 THE REMAINDER THEOREM AND THE FACTOR - CSUN")
101389_63_1TheRemainderTheoremAndTheFactorTheorem.pdf 1 3.1 THE REMAINDER THEOREM AND THE FACTOR THEOREM Definition:
Example 1.
Is 0 a zero of 12 3 xxxPI. DIVISION OF POLYNOMIALS
Dividing Polynomial by Monomial
Example 2.
Divide the following xxxx412816
23Dividing Polynomial by Binomial Using Long Division
Example 3.
Use long division to divide the first polynomial by the second: 385 42xxx, 3x Dividing Polynomial by Binomial Using Synthetic Division
Example 4.
Use synthetic division to divide the first polynomial by the second. 38542
xxx, 3x 2 II. THE REMAINDER THEOREM
The Remainder Theorem:
Example 5.
Use the Remainder Theorem to find cP: 3,132 23cxxxxP
III. THE FACTOR THEOREM
The Factor Theorem:
)(xP is a polynomial function, then the following statement is equivalent. 1. 2. Note: 1. 2.Example 6.
Use synthetic division and the Factor Theorem to determine whether the given binomial is a factor of xP.3,14425
24xxxxP 3 Example 7. Use synthetic division to show that c is a zero of xP: