The Remainder Theorem Worksheet Answers
Find the remainder when x3 7x2 4 is divided by x 1. Use the remainder theorem to find the remainder when fx x4 4x3 x2 16x 12 is divided by x 4.
Using roots to construct rough graphs of polynomials.
The remainder theorem worksheet answers. 7 find the remainder when x 3x 5x 6 is divided by x 2. Answers for worksheet 45 section 1 1ai 1 ii 1 iii 4. Finding factors and roots of polynomials.
State if the given binomial is a factor of the given polynomial. Use the remainder theorem to find the remainder for example 1 above which was divide fx 3x 2 5x 8 by x 2. Remainder theorem and factor theorem worksheet problems 1.
5 find the remainder when 6x 27x 14x 15 is divided by x 5. Quotient remainders step by step lesson use the remainder theorem to find the remainder of a this polynomial that id divided by two. The remainder is 0.
Using remainder theorem find the remainder when the polynomial 3x³ 2x² 6x 7 is divided by x 2. Sum and difference of cubes. Worksheet on remainder theorem practice the questions given in the worksheet on remainder theorem.
Start your free trial to take this quiz. Perfect square trinomials and the difference between two squares. Ax bx 3.
1 find the remainder when x 2x x 2 is divided by x 1. 3 find the remainder when x 3x 4 is divided by x 1. Printable worksheets and lessons.
Guided lesson explanation we show you how these problems are nowhere near as hard as they look. 6 when divided by x 1 and x 2 the expression. 1 quotient 3 3 4 2 5 2 1 quotient 0 x x x x x so x1is a factor of 3x3 4x2 5x 2 we can use the remainder theorem to check for factors of a polynomial.
F x x3 6x 7 at x 2 2 f x x3 x2 5x 6 at x 2 3 f a a3 3a2 2a 8 at a 3 4 f a a3 5a2 10 a 12 at a 2 5 f a a4 3a3 17 a2 2a 7 at a 3 6 f x x5 47 x3 16 x2 8x 52 at x 7. As before f x xa quotient remainder and f a remainder if x a is a factor then the remainder is 0 ie f a 0 this is called the factor theorem. Guided lesson the lesson starts with a whole number divisor.
Answer since we are dividing f x 3 x 2 5 x 8 by x 2 we let. Instead of going through the long division process to nd the remainder we can. We move on to dividing by binomials.
As a member youll also get unlimited access to over 70000 lessons in math english science history and more. Use the remainder theorem find the remainder when 4x3 3x2 2x 4 is divided by x 1. Worksheet given in this section is much useful to the students who would like to practice problems on remainder and factor theorem.
Pascals triangle and the binomial theorem. If a polynomial px is divided by x a then the remainder is pa.
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