Part A-Multiple Choice K/U-20 marks] 1. If the leading coefficient of an odd-degree polynomial function is...
Determine if each of the following is polynomial. If so, find the leading coefficient and degree. If not, explain why. a) r(t)=5t^-1 b) f(x)=7x+9 c) m(x)=6x+x^-3+15 d) h(x)= (3x-9)/(2x+7) e) t(x)=(2/3)x^2-8x+13 f) y(x)=3x+4ROOTx+11
1. Identify the degree, leading term and leading coefficient of each polynomial function.A. f(x)= x(x+1)(3x+1)(x-2)B. f(x)= -16+3x^4 - 9x^2 - x^6 + 4x^82. Describe the end behavior of a ninth-degree polynomial function with a negative leading coefficient.
32 , 42 332 CHAPTER 4 Polynomial Functions and Rational Functions 56.7x2 + 4x In Exercises 5 g(x) 57. What are 58. What is th 59. Given an inputs. 60. Movie Tic movie tic years, risi (Source: ers). Usin function, Let xrерr Then use price of a Using synthetic division, determine whether the numbers are zeros of the polynomial function. 31. -3,2; f(x) = 3x + 5x2 - 6x + 18 (32. -4,2; f(x) = 3x + 11x? - 2x...
Long Division - can be used when dividing any polynomials. Synthetic Division - can ONLY be used when dividing a polynomial 3)soane by a linear (degree one) polynomial. 2x + 3x2 - 6x +10 EX: +3 Long Division 2x + 3x2 - 6x +10 X + 3 Synthetic Division 2x + 3x2 - 6x +10 X+ 3 = x+3) * +3 2 2x - 3x+3+ 2x+3r- 6x +10 (-) (2x + 6x?) - 3x² - 6x (-) (-3r- 9x) 3...
Graph each polynomial function. Factor first if the expression is not in factored form. 20. f (x)= (x+1)(x-2)(x-4) 21. f (x)-x^4 +2x^3 -3x^-3x^2 22. f (x) = (x-1)(x-3)(x+2) For problems #20-22 aph each polynomial function. Factor first if the expression is not in factored form. 21. (x)-+2-3x 10 8 10 212 4168 10 10 10 22. /(x)=(x-1)(x-3)(x+2) 10 10 ulk
Write the polynomial f(x) as a product of irreducible polynomials in the given ring. Explain in each case how you know the factors are irreducible. 1) f(x) -x* + 2x2 +2x 2 in Z3[x]. 2) f(x)4 + 2x3 + 2x2 +x + 1 in Z3[x]. 3) f(x) 2x3-x2 + 3x + 2 in Q[x] 4) f(x) = 5x4-21x2 + 6x-12 in Q[x)
Please help me with numbers 1-5 thanks! Simplify the expression. 1) 9x-2-2x+ 5 A) 10 в) 10x C) 11x +3 D) 7x +3 2) 7x -4x -x 12 A) 3x - 12 B) 3x -x-12 C) 2x -12 D) 3x -13 3)-12 -(5y-10) A) -5y +2 B) -5y-2 C) -5y+ 22 D) -5y-22 4) (8x 13) (3x -1) A) 5x 12 4) B) 6x 13 C) 6x- 12 D) 5x 13 5) 5) -(10v -6)+ 10(2v+ 10) A) 10v+ 106...
SECTION 4.3 Polynomial Division; The Factor the polynomial function f(x). Then solve the equation f(x) = 0. 39, f(x) =x3 + 4x2 + x-6 40. fx) 5x - 2x 24 41, f(x) =x3-6x2 + 3x+10 42. f(x)-x3 + 2x2-13x + 10 43, f(x) = x3-x2-14x + 24 44.f(x) = x3-3x2 In Ex given. a): Fi b) C in gi - L 二 10x +24ー丁only, this one d) C gi ase 45' f(x) =x4-7x3 + 9x2 + 27x-54 plecs( 46, f(x)...
Question 2: Find for the following functions: (1) y=-42x2-3x -! 7x? -5x + 9 (3) y= x+5 (5) Y= 7+3 (y = (3x* + 3x + 2)(x+1) (7) y =(5x + 7x) Page 1 of 2 Question 3: (0) Find the slope of the graph of y=f(x) = 3x - 6x +1 at the point (2,1) (ii) Find the equation of the tangent line to the curve y = f(x) = x*-10x2 + 9 at x=-1 (iii) Find the equation...
4) A company's Cost function is: C=8x2-50x +103, Revenue function is: R=4x2+3. (Profit=R-C) Find the Profit equation: a. b. Find the break-even points: ( _) U c. Find the Profit intercept: (_ d. Find the max profit (Vertex): ( e. Sketch a Graph f. Domain: g. Range: h. Find the intercepts if the company wants a Profit of $200. L.), 8) Cost = x2+2x+1, Revenue = -5x2+6x-10 Profit 9) Cost = 7x2–7x+7, Revenue = 4x2+7x+7 Profit 10) Solve the Quadratic...