The divisor (what you are dividing by) goes on the outside of the box. The dividend (what you are dividing into) goes on the inside of the box.
When you write out the dividend make sure that you write it in descending powers and you insert 0's for any missing terms.
When you set this up using synthetic division write c for the divisor x - c. Then write the coefficients of the dividend to the right, across the top. Include any 0's that were inserted in for missing terms.
The numbers in the last row make up your coefficients of the quotient as well as the remainder. The final value on the right is the remainder. Working right to left, the next number is your constant, the next is the coefficient for x, the next is the coefficient for x squared, etc...
The degree of the quotient is one less than the degree of the dividend.
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a, b, c & d . please this is one full problem. Consider the division of...
these two please! Question 30 1 pts Use synthetic division to express P(x)= 3x® – 13x2 – 5x – 44 in the form (divisor)(quotient) + remainder for the divisor 3-5. O (x - 5)(3x2 + 2x+5)-19 O (x - 5)(3x2 + 5) - 19 (x - 5)(3x²+x+5) o(x-3)(19x2 + 2x + 5)-19 O none of these Question 32 Find (fg)(x). f(x)= 3x g(x) = 5x+ 7 O None of these og)(x)=xV15+21x o [g)(x)= 15x + 7 og)(x)= V8x+ 7 og)(x)...
Started: Jul 2 at 5:38pm Quiz Instructions D Question 5 1 pts Use synthetic division to divide 4-23-21æ2 - 21a - 11 by x +3 The quotient is: The remainder is For type 4/(x+2)
Find the vertex of the graph of this quadratic function 23) y = -2X2 - 8x - 3 A) (-2,5) B)(-2, -34) C) (2. -27) D) (-2,-27) Use the Leading Coefficient Test to determine the end behavior of the polynomial function. 24) f(x) = -6xx - 1)(x + 5)2 A) y asandy-as- B) yas and y Cy- as- andy asx - D) y asx and y- asx as- 25) f(x) = 5x3 - 4x3 - x5 A) y -as X...
Exercise for Section A 1. (10)3 +5)-? 3. (6-5+2)(5)-? 4.8+ (5(4)- 5. (10)(11)-1-? 6. 5+ 12/4-? 7. 10 + (2)(5)-5-? 8. 25-(92)+3-? 9. [(4 + 73- DI8-3]-? 10. [(3+5)+ (DX2)12- 11. The result of multiplication is known as the C. sum. 12. The result of addition is known as the C. sum. A. product. B. quotient. D. difference. A. product. B. quotient. 13. (4 +6(11)-? 14. (7-1+2)(4)-? 15. 20/(5 +5)-? 16. 9 +8/2-? 17. (12)(12)-3- 18. 9+ (4x8)-? 19. 15/3...
T'he goal of this problem is to establish the following remarkable result: Bezout's theorern. If a, be Z50, then 3x, y є Z such that gcd(a, b) = ax + by. Here ged(a, b) denotes the greatest common divisor of a and b (i.e. the largest positive integer that divides both a and b). Throughout this problem, we'll use the notation (a) Write down five numbers that live in 2Z +3Z. What's a simpler name for the set 2Z +3Z?...
Match the definitions with the term. Definitions: A. One or more parts of a whole B. The part of a fraction that is above the line and signifies the number of parts of the denominator taken C. Any of the set of nonnegative integers D. A measure used to compare an event over time; a comparison of the number of times an event did happen (numerator) with the number of times an event could have happened (denominator) E. The relation...
Please show all your work for credit. a). Use the Remainder Theorem and synthetic division to find the function value. Verify your answer using another method b) Use the Remainder Theorem and synthetic drvision to find the function value. Verify your answer using another method f(x) 4x-3x 2x -4, (2) a) Using the facto(+5x+2), find the remaining factorte) off (x) +6x +3x- 10 and winte the polynomial in fully factored form. ) Using the factors (3x + 2) and (x...
C++ Part1: Palindrome detector Write a program that will test if some string is a palindrome Ask the user to enter a string Pass the string to a Boolean function that uses recursion to determine if something is a palindrome or not. The function should return true if the string is a palindrome and false if the string is not a palindrome. Main displays the result ( if the string is a palindrome or not Part 2: Compute the Greatest...
2 Use synthetic division and the Remainder Theorem to find the indicated function value. 14) f(x) = 6x4 + 2x3 + 3x2 - 4x + 40; f(3) A) 813 B) 377 C) 1567 D) 595