2r – 5x – 6x + 1 -= 2x + x - 3 + Given -8 use the division algorithm to check the result. х — 3 %3D х 3

Q: - 6 and p(0)= -90 se multiply the polynomial out fully so it is in standard form

A: Given that, x = 51/2 , x = -6 and p(0) = -90.

Q: white the funetion in the form flx)- for the given value of K, and demon c flx)= r 2 flx)= x3-x-14x…

A: Given    q(x) is the quotient when F(x) is divided by x + 1 and r is the remainder.

Q: g9. Find the goD01, hent f remainer Using synthetic division. メー4 quotinent: remainder:

A: Consider  x4+x3-77x-13x-4

Q: (b) Generalize the remainder theorem to work for lm.d if m 7 0 instead of only l1,-k. In other…

A: b) We want to find the remainder after dividing f by lm,d if m≠0. Where f is a polynomial and lm,d…

Q: Use synthetic division to find the quotient and the remainder. (5s -17s° + 14s +17) + (s– 3) Choose…

A: Given, 5s4- 17s3 + 14s +17s-3 We have to do the synthetic division to find the Quotient Q(s) and the…

Q: Q4 (a): if a=6, b=12, show that AxH=G (b): find the value of k if the product of the root of (2k-1)x…

A: Here in this question a=6,b=12 is given  A=Arithmetic mean which is equal to =a+b2 H=Harmonic mean…

Q: (a) Find the values of a and b so that a + 3x +b is divisible by x2 (b) Use the Euclidean algorithm…

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Q: Use the REMAINDER THEOREM to find the remainder of each division. State whether the binomial is a…

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Q: The polynomial p(z) = = 3z- 20z2 +37z- 20 has a known factor of (z-4). %3D Rewrite p(z) as a product…

A: topic - factorisation

Q: II. Use the Remainder Theorem to find the remainder when each polynomial is divided by the…

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Q: 3.8 (a) Evaluate the polynomial y = x – 7x2 + 8x – 0.35 at x = 1.37. Use 3-digit arithmetic with…

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Q: x² + 4x + 3

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Q: 7Q2/ Cheese the correct answer. @If the bisection method is used to solve the equestion 3x²= = * in…

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Q: Divide, using the polynomial long division algorithm. Fill in your work below. R а — 7 5a? + -31a +…

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Q: When we divide a polynomial P(x) by a divisor D(x), the Division Algorithm tells us that we can…

A: Here Q(x) be the quotient, R(x) be the remainder, P(x) be the polynomial and D(x) be the divisor.

Q: When we divide a polynomial P(x) by a divisor D(x), the Division Algorithm tells us that we can…

A: When we divide a polynomial P(x) by a divisor D(x), the Division Algorithm tells us that we can…

Q: 1. The number of courses that Felix takes in this cycle is numerically equal to the number of prime…

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Q: 3-Find k if (x-5) is a factor of 4x³-5x+kx-2.

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Q: Divide, using the polynomial long division algorithm. Fill in your work below. v + 6 9v? + 56v + 20…

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Q: -4 2 Step 2 of 4: Find all factors including multiplicity of the zeros of P(x), (-2, 0) (0, 1) (1,…

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Q: Find the GCF of 240 and 152 using the Euclidean Algorithm.

A: We find Greatest Common factor here.

Q: 5. (3x + x + 3x - 6) + (3x + 5) 6. (4x' + 3x - 3x - 5) + (4x-7)

A: Solve the above questions.

Q: (a) If we divide the polynomial P(x) by the factor x – c and we obtain a remainder of 0, then we…

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Q: 10. Find the sum of the coefficients of (2x– 3)°. c. -6560 d. -5120 а. -5660 b. -6780

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Q: 4. у"-5y'+6у %3D х5 +7x3+4x = X

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Q: Divide, using the polynomial long division algorithm. Fill in your work below. R b+ 2 262 + b + 0b?…

A: Here we divide using long division method.

Q: 4p* – 17p² + 14p – 3 23. 2р - 3

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Q: 12) Consider the polynomial P(x) = 2x + kx? + 7x - 6 %3D a) Find the value of k, such that when P(x)…

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Q: 28. Give the formula, in factored form, of the polynomial p(x) whose graph is shown below (2,0) Нх…

A: Given graph of P(x),From the graph, we can say that it is a cubic polynomial.

Q: 3. Find k such that x 1 is a factor of x-2x- 3kx?+ 1 = 0. -

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Q: - By using simple Iteration method, find one root of the following quation: c- 10 x = 2x + 1 use…

A: since this is a multi-part question but as per guidelines we are allowed to answer only one…

Q: II. Use the Remainder Theorem to find the remainder when each polynomial is divided by the…

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Q: 6x4 – 6x3 + 11x² –x + 20 3x + 3x + 4 A student is using the reverse tabular method to simplify 3x2…

A: Solving using reverse tabular method, No. Of rows =03 No. Of columns = 4-2+1 = 3 Making table...

Q: Use the Factor Theorem to find all real zeros for the given polynomial function and one factor.…

A: Let's find.

Q: se the Division Algorithm and synthetic division to express the polynomial function P(x) = 4x3 -…

A: In algebra, polynomial long division is an algorithm for dividing a polynomial by another polynomial…

Q: Consider the following polynomial. q(x) = 7x² – 8x %3D Step 1 of 2: Find the degree and leading…

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Q: Find k such that the Polynomial P(x) 2x3 + ka? – 2x – 5 is divisible by x – 3. | | k =

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Q: 2 If k is a constant, what is the value of k such that the polynomial kx – 6kx + 9 is divisible by…

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Q: Use the REMAINDER THEOREM to find the remainder of each division. State whether the binomial is a…

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Q: (b) Use the Euclidean division algorithm to divide 2r2 - 5z - 1 by z- 3; find the quotient and the…

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Q: When the polynomial (5x + 4)(4x² + 6x + 8) is expanded, simplified, and written in descending powers…

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Q: x5 + (2i – 1)x3 - 2ix – 5 a = 5+i

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Q: Let p(x) = 3xª + 7x² + 4x + 1. (a) Write the polynomial p(x) in the telescoping form, showing each…

A: (a).        Consider the given polynomial                    p(x) = 3x4 + 7x2 + 4x + 1…

Q: f(x) 1st diff 2nd diff 3 1 3 2 ? (a) Find the missing entries in the table. (Show computations on…

A: Given Newton's dividend difference table.

Q: - 6i, then multiply 3. If the zeros of a 4th degree polynomial are x = 0, x = – 2 and x = - out the…

A: Given: The zeros of the fourth degree polynomial are x = 0, x = -2, x = -6i. To find: The polynomial…

Q: -2 0 -0.99 -0.12] Find the QR factorization of A -1 4 given Q -0.24 -0.12 0.96 -4 1 -0.97 0.03 -0.24

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Q: 2. A polynomial is givenP(x) = x' + 3x² – 36x – 20 a. Use synthetic division and the division…

A: Given:Px=x3+3x2-36x-20

Q: Let x E Z. List all possible remainders of 10x² when divided by 3. Justify your answer. (b) […

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Q: Divide, using the polynomial long division algorithm.  y-6 | 3y^2+-9y+-49

A: After dividing We got  Remainder=5 And  Quotaint = -3y-9 Explanation is given below....

Q: Find a polynomial of degree 5 with integer coefficients and has zeros, 1/2, -i, and 1-i, and leading…

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