P(r) = x³ + x² + a.x + b. If P(x) is divided by ( – 2), the remainder is -7 and If P(x) is divided by (x + 1), the remainder is 32. Find the value of a and b

Q: snip

A:

Q: The diagram shows two rectangles ABCD and PQRS. AB = (2x + 5) cm, AD = (x + 3) cm, PQ = (x+4) cm and…

A: topic - quadratic equations

Q: if  f′(2)=6, and g(x)=4f(x), what is g′(2)?

A:

Q: Find the value of b which is satisfied the L=16 2k+1 3k 11 (b > 2) bk 5k+1 10

A: In the given question we have to find the value of b for which the sum of the series…

Q: Find the value of x and the length of FD. D 2x - 14 x+2

A: Given,

Q: If the​ cost, c ​, for manufacturing x units of a certain product is given C=x^2+15x+55, find the…

A: Given, The​ cost C ​, for manufacturing x units of a certain product, is given by C=x2+15x+55, We…

Q: The profit for a product is given by P(x) = 50x − 0.10x2 − 4,000, where x is the number of units…

A:

Q: If f(x) = 5x® – 3x – 5, then what is the remainder when f (x) is divided by %3D | X - 2?

A:

Q: For what value of k is the difference of the quotient of g(x)=kx²+2x+1=7x+2+3.5h

A:

Q: Findimplicitly . 2る and.. 2メ り 6.xe+ッZZ=.. あ

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: Given: el3x-61-2, ƒ(x) = [2x - 5], √x² x² - 9, 2. Find f'(2), if it exists. if x 3

A:

Q: when P(x) is divided by x2+3. The quotient is x2- 2 and the remainder is -5 find P(x).

A:

Q: the remainder when p(x) is divided by x+ 4?

A: Consider the given graph of the function px. We have to identify the remainder when px is divided by…

Q: A jewelry maker incurs costs for a necklace according to C(x) = 21x + 1650. If the revenue function…

A: A jewellary maker Incurs costs for a necklace according to C(X) = 21x+1650Revenue function R(x) =…

Q: Determine the end behavior of P. P(x) = 8x3 - x2 + 3x + 7 as x → 00 y as x → -0

A: Solution

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: Given that (x−5) is a factor of x^3−7x^2+2x+a find the value of a

A:

Q: If 2x + 5y = -1 and 3x 2y 27, then what is the value of x?

A: Solution:

Q: Given f(x) = 2x-6x + k, and the remainder when f(x) is divided by a +1 is 7, then what is the value…

A:

Q: The revenue for a product is given by: R(x) = x³ – 10x² – 25x – 60 Is the revenue increasing or…

A:

Q: FCX) =xう+ 8x-18x+470

A:

Q: AD is an altitude. ZC = 75° and ZADB = 5x + 5. Find x. A В X =

A: Given that: AD is an altitude and ∠ADB=5x+5 & ∠C=75°

Q: The remainder when x (x – 1)² is A 3 B S c -7x + 10 D 7x - 10

A:

Q: The revenue for a product is given by: R(x)=x^3-10x^2-25x-60      Is the revenue increasing or…

A:

Q: > For y, polynomial x = y₁ 1 D²-2 [x²] y, = [-1-D² +...]. [2x+3]

A:

Q: f the greater number of two numbers is divided by the smaller, the quotient is 1 and the remainder…

A:

Q: When pr – 32.x2 – 10r +r is divided by (r – 2), the remainder is exactly the same as when it is…

A:

Q: Determine the values of m and n for f(x)=mx3+20x2+nx-35 given that (x+1) gives a remainder of zero,…

A: Given that f(x)=mx3+20x2+nx-35 given that (x+1) gives a remainder of zero, and when divided by (x-2)…

Q: What is r′(x) if r(x)=70x^5/2^x?

A: rx=70x52xTo find r′(x)

Q: For what values of a and b are x +1 and x +2 factors of xr² ax-bx -82 Write down the other factor.…

A:

Q: qx-5=(3p-2)x-2r find x in terms of p q and r

A: Solved below

Q: A tour operator believes that the profit P, in dollars, from selling x tickets is given by P(x) =…

A:

Q: If f (x) = 2x1 - x2 + 1, then what is the remainder when f(x) is divided %3D by x + 4?

A:

Q: When x'+ 5x -2 is divided by (x - 1) (x- 2) the remainder is А. 4 B. 12x -8 С. 12х D. 16 The volue…

A: 12. Consider the given dividend x3+5x-2 and the divisor x-1x-2. Obtain the remainder if x3+5x-2…

Q: Given f(x) = 2r + 5 and g(x) = 3x - 4, find (gf )(x). C 6x + 7x – 20 D 6x + 23xr + 20 A 5x + 1 B 6x?…

A:

Q: The management of the producers of a famous hot sauce estimate that their profit (in dollars) from…

A: The management of the producers of a famous hot sauce estimate that their profit (in dollars) from…

Q: p(x) = x(x-k) (x+k) is divided by (x-2k) is  3/4. Find the value of k. Hence, find the remainder…

A: We have p(x)=x(x-k) (x+k) Remainder theorem says that when a polynomial px is divided by x-a then…

Q: Find the profit function if cost and revenue are given by ​C(x)=153+4.3x and R(x)=5x−0.02x2. The…

A:

Q: Given that  ℓ1 ∥ ℓ2,  find x.

A:

Q: Given h(x) = 3x - 3x+5, find h(-3). h(-3)=D

A:

Q: Find the values of x for which 12x2 – 20x+5 < (2x+1)(x-1).

A: We have to find the values of x for which 12x2-20x+5&lt;(2x+1)(x-1) .

Q: Find the value of x given that 2x-5=13.

A: We have to find the value of x for  2x - 5 = 13

Q: f (x) = 2x- 3x + 5

A:

Q: If the cost, C, for manufacturing x units of a certain product is given by C =x-10x +70, find the…

A:

Q: The profit from manufacturing x items is given by P(x) = -0.5x2+65x- 15. Find AP on [25,26].

A:

Q: Find the value of x that will make A||B. A 2x + 5 3x-2 X = [?]

A:

Q: 3. Find the value of x. x+3 3x-1

A:

Q: the profit for a product is given by P(x) = -15x^2+1500x-24,000, where x is the number of units…

A:

Q: Given f(x) = 3x² + kx - 7, and the remainder when f(x) is divided by x - 4 is 81, then what is the…

A: We have to find the value of k when polynomial fx=3x2+kx-7 is divided by x-4 gives the remainder 81.…

Q: Given f(x) = 3x? + kx + 19, and the remainder when f(x) is divided by a +3 is 37, then what is the…

A: f(x) = 3x2 + kx + 19The remainder when f(x) is divided by x + 3 is 37.∴ 3x2 + kx + 19 - 37 is…