Polynomial long division: Problem type 2 Divide. (18x' +15x2- 18x+1)+(6x2 – 3x) Your answer should give the quotient and the remainder. Quotient: Remainder: 0 ? Page 2 of 4 Explanation Check Slide 1 of 1 Eng A
19. f(x)=4x3- 15x2 18x+ 20 3 (a) Find f'(x) Simplify and factor completely. )12x- 3ox-18 Find f(x) (b) Simplify and factor completely. ( 1.F Intevas are 242-30 (c) Find the intervals where the function is increasing and where it is decreasing. Use interval notation. : 24y-30 O 12 -30x-18O ,3 (-0,). 3). 39 -15 12 3 C 3, 00) 24 -) f is INC on: f is DEC on: Chrek Find the relative extrema of this function if they exist....
Determine whether the given binomial is a factor of the polynomial following it. If it is a factor, then factor the polynomial completely x+3, x2 + 5x2 - 2x-24 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. Yes, the binomial is a factor. The factored form of the polynomial is (Factor completely.) OB. No, the binomial is not a factor of the polynomial.
1 Compute and completely factor the characteristic polynomial of the following matrix: 0 A= -4 5 0 1 1 For credit, you have to factor the polynomial and show work for each step. B In the following, use complex numbers if necessary. For each of the following matrices: • compute the characteristic polynomial; • list all the eigenvalues (possibly complex) with their algebraic multiplicity; • for each eigenvalue, find a basis (possibly complex) of the corresponding eigenspace, and write the...
Factor completely and show the check by re-multiplication. If the polynomial is not factorable, write “prime.” 12x^3 -20x^2-8x
26) Write the polynomial function in factored form. fo)x4+10x3 -15x2-40x +44
4-Factor the polynomial x3 - 7x² + 16x – 12 completely if x – 3 is one of the factors. (5 pts.) 5-Solve the equation: 2x* - 5x3 - 2x2 + 11x – 6= 0 (5 pts.)
Factor each polynomial completely if it is prime write prime 11. +3+ 4+2 + 3t + 12 12. 822 + 10z-3
+38x4-8x5 -17x2 (b) Maximize subject to Z 2 107 + 16x5-7x6 -x1-13x2 + 45x3 + 30x7 S 81 3x3-18x =-13 -5x3 4x1 10 s x1 -2 16 S X3 x5 unrestricted +38x4-8x5 -17x2 (b) Maximize subject to Z 2 107 + 16x5-7x6 -x1-13x2 + 45x3 + 30x7 S 81 3x3-18x =-13 -5x3 4x1 10 s x1 -2 16 S X3 x5 unrestricted
17. MULTIPLE CHOICE Let f(x) = x4 - 3x3 + 5x - 3. Use synthetic substitution to find f(-2). F 37 H -21 G 27 I -33 Given a polynomial and one of its factors, find the remaining factors of the polynomial. 18. 2x3 + 15x2 + 22x – 15; x + 5 19. 23 - 4x2 + 10x - 12; x - 2