PAPER 1 12015 2 The polynomial f(x)-ax-15x²+bx-2 has a factor of 2x-1 and a remainder of 5 when divided by x-1. (1) Show that b-8 and find the value of a. (ii) Using the values of a and b from part (1), express f(x) in the form (2x-1) g(x), where g(x) is a quadratic factor to be found. ) Show that the equation f(x) = 0 has only one real root. VENT

Q: Find 2) (x) using long division for f(x) = x? + 8x + 16 g(x) = x + 3 The quotient is The remainder…

A:

Q: Write two distinct polynomials, one in factored form ( f(x) = (x ± a)" (x ± b)".. ) and one in…

A:

Q: The zeros of the polynomial P(x) = x* + 3x2 - 4 are %3D (a) 2i,-2i, i and - i (b) 2,-2, i and – i…

A: To find the zeroes

Q: 1. Sketch the polynomial /(x) = (2-x)²(x+1)(x-4)³

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: For the following polynomial:              f(x) = (x – 1)2 ( x^2– x – 30)   3a) Describe the end…

A:

Q: Differentiate the function f (x) = (3x2 + x - 2)2 in two ways. (a) Use the general power rule. (b)…

A: To differentiatef(x)=(3x2+x-2)2 in two ways

Q: #2 Write and expand a third-degree polynomial f(x) with zeros -1,3√2,-3√2. SHOW ALL WORK!

A: Step 1: Formula for the third-degree polynomial,f(x)=(x−a)(x−b)(x−c)Step 2: Given,…

Q: Write a polynomial f(x) of degree 3 that has the zeros 1/3, √3, and -√3

A:

Q: Calculate the first three Legendre coefficients for f (x) = x² + 1 and then express the f(x) in…

A: The solution of the differential equations are the functions that satisfies the differential…

Q: Express the polynomial f(x) = 2x² + 3x³x²+x-2 in the form f(x)=b₁(x - 5)¹. i=0

A:

Q: Fill out the information for the following polynomial: a) f(x)= -1/4x3-13x2+3x-9 degree- Type of…

A:

Q: ow that x+a is a factor of the polynomial p(x)= (x+a)ª+(x+c)ª-(a-

A:

Q: (4) Find a polynomial that has 1+i and 1- i as zeros.

A: We have to find polynomial

Q: Write a polynomial p(x) whose roots are 1 + √2 and 1-√3 such that p(2) = 5.

A: The given roots are, 1+2, 1-3 Since the given roots are irrational and as they exist in pairs we…

Q: 2) List one of the zeroes of the polynomial function. The function will have more but you only have…

A:

Q: a)Is x +2 a factor of the polynomial f(x) =x^3-3x+2? How do you know?b)Is x = 2 a zero of the…

A: The problem is concerned with the relationship between zeros of f(x)=0 and factors of f(x)