questions are split now please help solve them please

Question 43 Given P(I) = c' + x2 + 25x + 25, find the zeros, real and non-real of P The zeros are Write P in factored form (as a product of linear factors). Be sure to write the full equation, including P(x) =. Question Help: [Video 1 ) Video 2 Submit Question. Question 44 Suppose f is a polynomial with the following values: 7 2 3 6 9 f(I) 11 13 0 2 A factor of f(x) is Question Help: B Written Example Submit Question. Question 45 The possible rational roots of 24 - 523 - 10z2 - z + 26 are z = (List all possible roots, separated by commas. Enter positive and negative roots separately) Question Help: Video ) Written Example Submit QuestionQuestion 26 Find the quotient and remainder using long division. - 1214 + 11x3 - 212 + 4x - 3 41 - 1 The quotient is The remainder is Question Help: DVideo Submit QuestionQuestion 46 The possible rational roots of 1343 - 62 + 9y + 2 are (List all possible roots, separated by commas. Enter positive and negative roots separately) Question Help: Video ) Written Example Submit Question. Question 24 Evaluate f(x) = 2x4 - 3x2 - 12x + 6 at 0 and -2 to determine if the Intermediate Value Theorem guarant that a zero exists between the two values. a) f(0) - b) f(-2) = c) Does the Intermediate Value Theorem guarantee that a zero exists between 0 and -2? yes O no Question Help: Video Submit QuestionQuestion 29 Find the quotient and remainder using synthetic division for 23 + 6x2 + 13x + 14 2 +2 The quotient is The remainder is Submit QuestionQuestion 40 Fully factor f(x) = 2 - 10r + 31x - 28, including factors for irrational zeros. Use radicals, not decimal approximations. f(x) = Question Help: Video Submit QuestionQuestion 33 Use the Remainder Theorem and synthetic division to evaluate the function at the given value. f(x) = -915 - 2x4 + 3x3 - 722+ 4 f( - 2) = Question Help: Video 1 ) Video 2 Submit QuestionQuestion 25 Find the quotient and remainder using long division. 14 - 4x3 + 7x I - 2 The quotient is The remainder is Question Help: Video 1 D) Video 2 Submit QuestionQuestion 32 Factor the polynomial function f(x) = 623 + x2 - 10x + 3. The zeros are f(x) = Question Help: Video Submit QuestionQuestion 34 Find the quotient and the numerator of the remainder using synthetic division. 625x4 + 250x3 + 75x2 + 20x + 10 R(I) = Q(I) + en / co It Q(I) = R(I) = Bug Bounty Question Help: Written Example Submit Question. Question 41 Find all zeros of the function f(x) = 4x- 13x2 + 4x + 12. Use intergers and fractions for answers, not decimals. The zeros are: The fully factor form is f(x) = Question Help: Video Submit QuestionQuestion 42 Given P(x) = 3x + 112 + 113x3 + 393x2 + 180x - 108, and that 62 is a zero, write P in factored form (as a product of linear factors). Be sure to write the full equation, including P(x) =. Question Help: Video Submit Question. Question 48 For the polynomial g(x) = 2x3 - x2 - 40x + 20, use the Rational Zeros Theorem to list all possible rational zeros of the polynomial. Then identify all roots of the polynomial. Possible rational roots: +/- O 1, 2, 4, 5, 10, 20, 1/2, 5/2 O 1, 2, 1/2, 5/2 O 1, 2, 1/2, 1/4, 1/5, 2/5, 1/10 O 1, 2, 4, 5, 10, 20, 1/2, 5/2, 1/4, 1/5, 2/5, 1/10 Actual zeros of the polynomial: Hint: Remember to enter an irrational number, either use the math quill option (the up arrow to the right of the answer key) or the code sqrt(#) Question Help: Video Submit Question. Question 49 For the polynomial g(x) = 3x3 + 2x2 - 72x - 48, use the Rational Zeros Theorem to list all possible rational zeros of the polynomial. Then identify all roots of the polynomial. Possible rational roots: +/- O 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1/2, 3/2, 1/3, 1/4, 3/4, 1/6, 1/8, 3/8, 1/12, 1/16, 3/16, 1/24, 1/48 O 1, 3, 1/2, 3/2, 1/3, 1/4, 3/4, 1/6, 1/8, 3/8, 1/12, 1/ 16, 3/16, 1/24, 1/48 O 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1/2, 3/2, 2/3, 4/3, 8/3, 16/3, 1/4, 3/4, 1/6, 1/8, 3/8, 1/12, 1/16, 3/16, 1/24, 1/48 O 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1/3, 2/3, 4/3, 8/3, 16/3 Actual zeros of the polynomial: Hint: Remember to enter an irrational number, either use the math quill option (the up arrow to the right of the answer key) or the code sqrt(#) Question Help: Video Submit QuestionQuestion 28 Find the quotient and remainder using long division. 30x4 - 2913 + 2x2 + 4x - 6 512 - T The quotient is The remainder is Submit QuestionQuestion 31 Given the function f(T) = 72 - 81 + 8. Calculate the following values using synthetic division and the Remainder Theorem: f ( - 2) = f ( - 1) = f (0) = f (1) = f(2) = Question Help: Video Submit