2. Given that P(x)=x' +mx² +nx-8 where m and n are constants. (x-2) is a factor of P(x) and the remainder when P(x) is divided by (x+3) is 10. (a) Calculate the values of m and n, and find the other factors of P(x). in partial fraction. P(x) (b) Hence, express

Q: 4 find the difference quoitent of... f(x) = -√x-19

A: To find the difference quotient of the following function.fx=x-19

Q: 5. Factor f(x) = 9x² – 33x² + 19x – 3, given that 3 is a zero.

A:

Q: if f(x)=16x+3 find f prime of zero

A: The objective of the question is to find the derivative of the function f(x) = 16x + 3 at the point…

Q: Find the quotient and remainder of (x' + 8x² + 19x + 13) ÷ (x + 3). A (x² + 11x + 52) R 13 © (x² +…

A:

Q: Consider the polynomial P (x)=kx' - 5x +3x + 2. Find the value of k such that the remainder is 4…

A: The polynomial is given by Px = kx3-5x2+3x+2 The remainder obtained after dividing the polynomial Px…

Q: 2. Use long division to divide P(x) 3x'+ 7x - 2x- 11 by the binomial (x-2). Express your answer in…

A:

Q: Compute f. F · dr, where F(x, y) = (8 + 21x², 4xy) and C is a line segment from (0,0) to (1,2). (Use…

A: Given F(x,y)=8+21x2,4xy2        (1) Line segment from (0,0) to (1,2) is y-0=2-01-0(x-0)⇒y=2x…

Q: Determine the constants a and b so that x = -1 is a zero point to q (x) = x5-3bx3 + ax2-ax + b with…

A:

Q: Let f(x) = x³ + x + 4 and g(x) = 3x + 2 in Z5[x]. Then, upon dividing f(x) by g(x), we get The…

A: Elements in Z5 are Z5={0,1,2,3,4}.

Q: 1. Use division to justify the expression that describes the end behavior for f(x) 21430 7x 15/Q…

A: Let's find.

Q: If f(x).= x³+3x k is divided by (x +1) and the remainder is 12, then - k = -8. True False

A: Given :fx=x3+3x-k*Remainder theorem; - If a polynomial f(x) is divided by x-a then the remainder is…

Q: x-3 1. f(x) = x2 + 1 g(x)= v1–x h(x) = v(x) =-9 w (x) = 4x +3 r(x): %3D x+7 Find the following and…

A: Given that:                      f(x)=x2+1g(x)=1-xh(x)=5xv(x)=4x2-9w(x)=4x+3r(x)=x-3x+7   NOTE: As…

Q: 15. nts) Consider the following rational function r(x) (written both with its numer- ator and…

A: We will find out the required value.

Q: 1. [K2] Without dividing, determine the remainder when P(x) = 10x3 – 9x2 – 8x + 11 is divided by 5x…

A: We use remainder theorem for calculating the remainder.

Q: 2. f(x) = x2-5x +6 A. x= 1 B. x=-3

A: A function is an expression which gives output values for each input values . The set of input…

Q: 3) 4) Find g(3) for g(x) = √-x5. Find p(-x) for p(x) = x³-√1-x .

A:

Q: We can clear the fraction by multiplying both sides by x - X1, the least common denominator, where x…

A: Consider the given function as m=y-y1x-x1

Q: Which of the following is a factor of the cubic expression x'-2r -5x+6? (1) x+1 (3) x-3 (2) x-2 (4)…

A: (x-3) is the factor of given equation.