Suppose v(x) is created by compressing p(x) horizontally by a factor of 2 and shifting 9 units up. Write v(x) in terms of p(x), and then find an algebraic expression for v(x).

Q: Given that f(x)=x^2-11x+18f(x)=x2−11x+18 and g(x)=x-9g(x)=x−9, find f(x)+g(x)f(x)+g(x) and express…

A:

Q: If f is a polynomial function, and x − 6 is a factor of f ( x ), what is the value of f ( 6 ) ?

A: Answer is 0 Explanation is given below..

Q: What happens to the values of h(x)=(x2 +2x-15)/(x2 -9) as x- > 3?

A: Our objective is to find the limit

Q: 2. Find algebraically the zeros for 3 p(x) = x +x – 4x - 4

A:

Q: For the polynomial f (x) = x³ – 2x² – 5x + 6 what is the end behavior as x → +∞ O x → ±∞ O x → -∞ x…

A:

Q: When p (x)=2x+kx +1 is divided by x+1, the remainder is the same as when q (x)=3x4+ kx² +2 is…

A: After calculating the division of two function, we will equate the remainder values to Find k valye

Q: Given f(x)=(x-3)(x+2)(x+3), give a strategy for writing the expanded form of the polynomial

A:

Q: 4x

A: Zeros of f(x) must satisfy f(x),i.e., f(x) will reduce to zero at the zeros of f(x).

Q: Evaluate x2 - 2x + 5 for x = 1 - 2i.

A:

Q: 1. Use the Product Rule to differentiate y = x³(2x + 1)*.

A:

Q: Use SYNTHETIC SUBSTITUTION to find P(c) for 3 P(x) = 4x + 2x2 – 4x + 6 and c = - |

A:

Q: 3. Divide x+4x-3x-2 by X-2) then divide if CX-2) isa factor of x² t4x-3y-2 why?

A: We have to divide (x3 + 4x2 - 3x - 2) by (x - 2)  Then ,

Q: Find the coefficient of x5 in (1 – 2x)-7 using generating function.

A: Given to find the coefficient of x5 in 1-2x-7 The generating function will be Gx=1-2x-7…

Q: Factor f(x)= 3x + 11x-67x+21 into linear factors given that -7 is a zero of f(x). f(x) = 3x° + 11x -…

A: This question is based on factorisation of Polynomial.

Q: for (x)=15x^4+10x^3-6x^2+14 show that (3) is equal to the remainder when you divide(x) by (x-3)

A:

Q: express f(x) =x³+2x²-x-3 , in term of lagendre polynomial

A: To express the given function f(x)=x3 +2x2 -x-3 in terms of Lagendre polynomial.

Q: Factor f(x)= 4x + 9x- 25x +12 into linear factors given that -4 is a zero of f(x). f(x} = 4x° + 9x –…

A:

Q: 5x + 3, xS -1 y = 32 - 3, x > -1 х> -1

A:

Q: For j(x)=(3x2−6x+10)(x3), find j′(x) by applying the product rule.  Do not include "j′(x)=" in your…

A:

Q: The ________ Theorem states that if a polynomial f(x) is divided by x − k, then the remainder is r =…

A: The ________ Theorem states that if a polynomial f(x) is divided by x − k, then the remainder is r =…

Q: If x* – 1 = (x – 1) q (x), which polynomial represents q(x)? |

A: As we know that (x2-y2)=(x-y)(x+y)

Q: 17. Find the discriminant of 8x -x +7= 0.

A: topic - discriminanat

Q: For f(x)=2x4 +2x3-1 and g(x)=2x3 +2x+3 in Z4[x], the degree of fg is 7. True or false

A:

Q: Gives that f(x) 5x^3-54x^2+170x-104. And that 5+i is a zero, factor f(x) completely.

A: If 5+i is a zero then (5-i) is also a zero.

Q: For j(x) = (1-x²) (-3x³ + 2x), find j'(1) by applying the product rule. Provide your answer below:…

A:

Q: Consider h(x)= {3x^2 +1, if x3. What is h'(3)?

A:

Q: Q4 Find x for all of : 2- y = 3 x(x-2) x+1 1- y = xvInx

A:

Q: Evaluate: x2 - 2x + 5 for x = 1 - 2i.

A: x2-2x+5, x=1-2i Concept i2=-1

Q: Factor f(x)= 2x - 5x - 14x+8 into linear factors given that -2 is a zero of f(x). f(x) = 2x° -…

A:

Q: 17. Given 2x+4 — 2x+3 = 1, find x.

A:

Q: Given the function f(x) = ;x – x², then what is f(x - 2) as a simplified | | polynomial?

A: Given polynomial f(x)=52x-x2.

Q: Find the discriminant of C(x)=3X^2-4X+3

A:

Q: 10) If x = 1 is a zero, what are the other zeros for x3 - 3x2 + x + 1 = 0 ?

A:

Q: f(x) = In (8x + 2)(3r - 6)

A:

Q: Prove that x -2x+2>0 for value of x.

A:

Q: 4. In x2 -4x + 4 - b2 = 0, find the value of x. %3D

A: Topic:- algebra

Q: Factor f(x) = 2x + 7x2 - 44x+ 35 into linear factors given that - 7 is a zero of f(x). f(x) = 2x° +…

A:

Q: Multiplying out, f (x) = 4x 4 - 20x 2 + 25, so f' (x) = 16x 3 - 40x = 8x (2x2 - 5). To use the…

A: Solution: Consider the given function is  fx=4x4−20x2+25 The given equation can be re-written in…

Q: 6. Find the value of JK. X+2 X+4 X+1

A: First Use the intersection chord method and solve for x than find the length JK.

Q: What is the end behavior for the given polynomial: F(x)=-7x^4+4-7x+x^2-x^

A: We have to find out

Q: What is the expanded form of (x + 1)°? A x+4x* + 6x+4x+x + 1 .5 .3 .2 B. x+5x* + 10x'+10x +5x + 1…

A:

Q: If f(x) = 47 +5√x + 13 and g(x) = 2x² + 5, compute the composition (fog)(3). (fog)(3) =

A:

Q: If a polynomial f(x) when divided by (x - a) gives a remainder r₁, and when divided by (x - b) gives…

A: Given that fx is divided by x-a, we get remainder r1, so there exist a polynomial qx such that…

Q: For j(x) = (2x² – 1) (-3x³ + 2x), find j'(0) by applying the product rule. %3D

A:

Q: Factor f(x)=3x^3+11x^2-62x+56 into linear factors given that -7 is a zero of f(x).…

A: Factor f(x)=3x^3+11x^2-62x+56 into linear factors given that -7 is a zero of f(x).…

Q: Show that x^2 + 1/x^2 is greater than or equal to 2.

A: A.M  is greater than or equal to G.M

Q: The number of units in Z29[x] is

A: Solution by using definition of unit elements

Q: j(x)= (-x^2 -2) (-3x^3 +2x), find j’(-2) by

A: