1. What is the remainder when a. − 3x^3+ 2x^2 − 5x + 8 is divided by x − 4 b. 4x^4 − x^3+ 12x^2 + 24 is divided by x + 3 2. Which of the following are factors of – x^3− 5x^2 − 3x + 9 a. x − 1 b. x − 3 c. x + 1 d. (x + 3)

Q: Create a cubic expression that when divided by (x-1) will have a remainder of 6

A:

Q: 3. Deter 14x^3+kx" Option O Option Option

A: x-1 is factor of polynomial.   Therefore, f(1) = 0

Q: III. Divide by synthetic division 1. (3x3 - 17х? + 15х - 25) + (х - Б) 2. (9х3 -16х — 18х? + 32) +…

A:

Q: What is the value of k so that the polynomial P \ left (x \ right) = x ^ 5−23x ^ 4 + \ left (2k − 3…

A: Given : P(x)=x5−23x4+(2k−3)x3−17x2−54x+40 Q(x)=x-2 Remainder theorem states that x -a is the divisor…

Q: 1. Divide the polynomial 2x^3-7x^2-4x +36 by 2x-3. Express the polynomial in terms of the quotient,…

A:

Q: Use the strategy of your choice to multiply the following expressions. 3. 4. (2x- 3)(-x² + 5x -4) 5.…

A:

Q: A. Find y' if 6. cos 3y = tan 5x

A: Chain rule of derivative: ddxu(v(x))=u'(v(x))ddxv(x) Given function is: cos3y=tan5x

Q: (8) Find the remainder and the quotient using synthetic division, and write your answer in quotient…

A:

Q: Given a polynomial and one of its factors, find the remaining factors of the polynomial. 133.…

A:

Q: Which of the following has a remainder of 16 when divided by (x + 2)?  a 3x3 − 7x2 − x + 1 b 3x3…

A: Which of the following has a remainder of 16 when divided by (x + 2)?

Q: 18. Express the polynomial 6x -x +2x-4 in standard form. 6x'-2x-4 7 +2x-4 -4+2x-5x 5x +2x-4

A: standard form is the form in which polynomial is written decreasing power of x and all different…

Q: 2. Factor. 10 x2/5 (4x + 7)/2 +÷ 7 3 7/5 (4x + 7)-1/2 3

A:

Q: Simplify by removing factors of 1. 2 - 6z + 8 z* + 2z - 8

A: Simplify

Q: Divide using synthetic division. 15. (4x* +9x' – 200x +100)÷(x+3) -IT -) --1)

A: For synthetic division, write zero of the divisor on the left of the synthetic division table.…

Q: 11. Write the polynomial in standard form. 5x – 2+ 4x + 8x?

A: As part of our policy at Bartleby, I can solve only the 1st question. Given a polynomial (say P) :…

Q: Classify the polynomial by the number of terms it contains. 27. x*-3x +2 Choices for 27-30: 28. 8y…

A: Here, to classify the the polynomials by the terms it contains.

Q: 4. 6x²+x-12 Factor by grouping

A:

Q: 3. Multiply: a. (5y + 4b) (5y- 4b) b. Suppose f(x = x - 5 and g(x) = 6x2 - 6x- 7. Then (fg)(x)=? %3D

A: According to the guidelines in case of multiple questions, We are only supposed to solve first…

Q: Which of the following is the correct first row of the synthetic division when 3x-2x³-4 is divided…

A: We are going to solve

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.