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[DOC File]Test 2-1 Outline
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7. Use long division to find the quotient and remainder when . 8. Use synthetic division to find the quotient and remainder when. 9. Find the remainder of without doing long or synthetic division. 10. Use the factor theorem to determine which of the following are factors of . Work must be shown to justify your answer. a) b) c) 11.
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[DOC File]Chapter 3 – Solving Equations
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dividend =divisor ·quotient + remainder. Division Algorithm for Polynomials (page 360), is the . dividend, is the . divisor, is the . quotient, is the . remainder. Synthetic Division—shortcut to divide a polynomial by a polynomial of degree one, . Do the following example . twice, using long division and synthetic division.
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[DOC File]Section 1: Rings and Fields
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Hence, when finding the remainder for , look for the nearest integer that m divides that is less than b. Example 2: Compare computing with . Solution: Doing Modular Arithmetic For Larger Numbers With A Calculator. To do modular arithmetic with a calculator, we use the fact from the division algorithm that, and solve for the remainder to obtain.
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[DOC File]KFM01Sr01_ Whole Numbers
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To check a division problem with a remainder, multiply the divisor by the quotient and add the remainder to obtain the dividend. 29 4 = 7 r1 Dividend Divisor = Quotient + Remainder Check: 4 ( 7 = 28 Divisor ( Quotient = Check number 28 + 1 = 29 Check number + Remainder = Dividend The answer checks. Example 1 19
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[DOC File]CHAPTER 3: POLYNOMIAL AND RATIONAL FUNCTIONS
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The Remainder Theorem. If a number c is substituted for x in the polynomial , then the result is the remainder that would be obtained by dividing by In other words, if then . The Factor Theorem. For a polynomial , if then is a factor of . Proof: If we divide by we obtain a quotient and a remainder, related as follows: Then if we have
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[DOC File]MAC 1140 – Section 3
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Write quotient and remainder. 2. Practice: Use synthetic division to find the quotient and remainder when . x4 + 5x3 – 15x + 10 is divided by x + 3. Applications of Polynomial Division. 1. For 156, give the quotient and remainder. Quotient = Remainder = 15 = or 15 = 6Q + R In general, dividend = divisorquotient + remainder
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[DOC File]Practice Exercise 3 .edu
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Using a calculator find the quotient and remainder when19 is divided by 7. Using a calculator find the quotient and the remainder when 589,621 is divided by 7,893. Using a calculator find the quotient and remainder of 111,111,111,109,999,999 is divided by 1111. If the number is too big for the calculator, is there an easy way to find these results?
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[DOC File]Pleasant Valley High School
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If students use a calculator to check, they should follow the sequence of a pencil and paper check (divisor x quotient)+remainder. With a remainder, the calculator may give them a seven-place decimal if they divide. Calculator activity: This game is for two players. One player uses a calculator and the other player uses his or her head.
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[DOC File]Overview - Weebly
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3x2 + 6x + 7 24 is the remainder. 3x2 + 6x + 7 is the quotient. The quotient is 3x2 + 6x + 7 and the remainder is 24. Using either of the methods, students should be able to find the same quotient and the remainder. Using the Remainder Theorem, find the value of the polynomial at x = 2. f(x) = 3x3 – 5x + 10. f(2) = 3(2)3 – 5(2) + 10
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[DOC File]Polynomial Functions and End Behavior
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III. Divide using LONG division: Write the quotient, with the remainder, if there is one, as a fraction, on the answer line. 7. 8. _____ _____ 9. Divide using SYNTHETIC division: . Write the quotient, with the remainder, if there is one, as a fraction. ... Use a calculator to help determine which values are the roots and perform synthetic ...
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Calculator with quotient and remainder