
Find a polynomial f(x) of degree 4 that has the following zeros. 2, 0, 7, -6 Leave your answer in factored form f(x)-Ф
Question 19 Given that f(x) = - x(x - 2)2(x + 4). Determine all zeros. Question 20 Find all possible rational zeros of f(x) = - 3x + 2x +9, using Rational Zero Theorem ONLY. (You are not asked to find the actual zeros of the function. )
Find all rational zeros and factor f(x). f(x) = x°- 6x + 3x + 10 Select one: A. -2,-5, 1; f(x) = (x + 2)(x + 5)(x - 1) B.-3, -6, 1; f(x) = (x + 3)(x + 6) (x - 1) C. 2, 5, -1; f(x) = (x - 2)(x - 5)(x + 1) D.3,6, -1; f(x) = (x - 3)(x - 6)(x +1)
Question 32 Find (fg)(x). f(x)= 3x g(x)= 5x+ 7 O None of these og)(x)= x/15+21x O [g)(x)= 15x2 + 7 o Vg)(x)= V8x+ 7 O V&)x)15x2+ 21x og)(x)=xV15+/21x Question 41 1 pts List all possible rational zeros given by the Rational Zeros Theorem (but don't check to see which actually are zeros). Q(x)=x*- 4x- 5x+8 O 1.8 - 1. - 2. - 4.-8 Ot1.18 None of the above O 1.2.4,8 O +1.2+4,18
(1) (a) List all possible rational zeros of the rational function: f(x)=9x' +22° -87-15x² + 3x + 20 (b) Find the zeros of the polynomial function and state the multiplicity of each. f(x)=(x+8) (r - 4)*(x+1)' (x –15)'(x+3)
[11] Simplify the algebraic expression. (3x² + 2)(7)(x - 4) – (x – 4)?(32(3x’ + 2)?(6x). ((3x + 2))? [12] Find f(x + h) – f(x) with f(x) = -3x + 4x.
Question 8 f(x) = 3x2 + 2 Find f'(x). 0 sqrt(6x) O (3x^2 + 2)^3/2 O 1/sqrt(3x^2 + 2) O 3x/sqrt(3x^2 + 2)
7) For f(x) = x - 4x + 9x? - 201 + 20 a) List the potential rational zeros. b) Determine which values from part (a) are the real zeros of the functions. (You need not show work.) 8) Find the complex zeros of each function. a) 2-10 b) x-1=0 c) 4 + 13x2 + 36 = 0 d) 2x + 3x + 2x + 3 = 0
Question 3 Evaluate the function f(x) = 4 - 3x at the values x = -2,-1,0,1, 2. O f(-2) = 10, $(-1) = 7, () - 4. f(1) = 1, $(2) = -2 Of(-2) --2, f(-1)-1, (0)-4, f(1) = 1, $(2) = -2 of(-2) = 9, f(-1) -7, (0) - 4 f(1) = -27, $(2) = -2 Of(-2) --28, f(-1) --1, $(0)-0, (1) = 1-27, $(2) --2 Question 4 Evaluate the function h(x) = 2x at the values --2,-1,0,2. ©...
Consider the functions f(x) = 4-xand g(x) = 3x +5. Find the value of f(g(-2)). O 3 O 1 05 O 0