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
The binomial (x – a) is a factor of polynomial f(x) if and only if f(a) = 0 Factor Theorem Is the following binomial a factor of f(x)?
The Remainder Theorem states that if a polynomial is divided by (x - a), Determine whether the given binomial is a factor of the polynomial P(x)
The binomial x - 3 is a factor of the polynomial if 3 is a zero Use the factor theorem x² + 8x + 12 = (x + 2)(x + 6) So,
a) Use the remainder theorem to determine the remainder when Remainder Theorem: When a polynomial function Factor out the common binomial
In this section you will apply the method of long division to divide a polynomial by a binomial You will also learn to use the remainder theorem to
B 2: Remainder Theorem 9 Which binomial is not a factor of the expression that x - 4 is a factor, as suggested by the Remainder Theorem
A factor is any binomial that divides evenly into a polynomial, This special case of the remainder theorem is called the factor theorem
Verify that the given binomial is a factor of P(x), and write P(x) as the product of the binomial and its reduced polynomial Q(x)
Use the Remainder Theorem to find the remainder when 2x3 + 5x2 – 14x – 8 is divided by * – 2 State whether the binomial is a factor of the polynomial Explain
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
Polynomial Functions Determining Whether a Linear Binomial Is a Factor is a factor of f(x) This result is summarized by the Factor Theorem, which is a special
a) Use the remainder theorem to determine the remainder when Remainder Theorem: When a polynomial function Factor out the common binomial