Find the quotient and remainder when the first polynomial is divided by the second. x3 + 8x + 9x + 3,x+ 2
When a certain polynomial is divided by x+2, the quotient is x² - 4x + 1 and the remainder is 8. What is the polynomial? 3. When a certain polynomial is divided by X-3, the quotient is x2 + 2x-5 and the remainder is -3. What is the polynomial?
Find the quotient Q(x) and remainder R(x) when the polynomial P(x) is divided by the polynomial D(x). P(x) = 4x5 + 9x4 − 5x3 + x2 + x − 25; D(x) = x4 + x3 − 4x − 5 Q(x) = R(x) = Use the Factor Theorem to show that x − c is a factor of P(x) for the given values of c. P(x) = 2x4 − 13x3 − 3x2 + 117x − 135; c = −3, c = 3...
QUESTION 1 (x + x2)log x + x2.5 is ou O x2 log x O X3 O x2 O x log x QUESTION 2 If f(x) is O(g(x)) and g(x) is O(h(x)) then f(x) is O(h(x)). True False
2. (a) Use polynomial long division to determine the quotient when 3x3 5210x 4 is divided by 3x 1 (b) Show, by polynomial long division that x3-3x2 + 12x _ 5 = ( x2 - x + 10)+ 15 r2 r-2
Question 31 3. Given the CRC7 polynomial x? + X5 + x3 + x2 and input hex data BODE calculate the CRC. Choose the correct value from one of the following: O 11001010 001000111 O 01001101 O 01001100
When x2 - 3x + 2k is divided by x +4, the remainder is 21. Find k k= (Simplify your answer.)
Using the polynomial generator: X4+X2+ 1. A shift register encoder is sending the data sequence with polynomial of X4+X3 +x+1 in systematic form. Demonstrate the resulting CRC division using polynomials.
If two polynomials (2x3 + ax2 + 4x -12) and (x3 + x2 - 2x + a) leave the same remainder when divided by (x - 3) . Find the value of a and also the remainder.
Question 1 2 pts The Hermite Interpolation polynomial for 33 distinct nodes has Degree at most {Be Careful with the answer. Look at the Theorem and the Question Carefully; compare the given information} Question 2 2 pts If f € C4 [a, b] and p1, P2, P3, and p4 are Distinct Points in [a, b], Then 1. There are two 3rd divided differences 2. There is exactly one 3rd divided difference and it is equal to the value of f(iv)...