1. The conventional algorithm for evaluating a polynomial a„x“ + an-1x" at x = c can be expressed in pseudocode by + …+a¡x +ao procedure polynomial(c, ao, a1, ..., am: real numbers) power := 1 y := ao for i := 1 to n power := power *c у:3у+а; * power return y{y = anc" + an-1c" п-1 + ... + aịc + ao} where the final value of y is the value of the polynomial at x = c. a) Evaluate 3x +x + 1 at x = 2 by working through each step of the algorithm showing the values assigned at each assignment step.

Express as a polynomial.

a. What is the domain of x↦ (1)/(x^(2-25)) ? b. Explore x-> (1)/(x-|x|) to determine what inputs, if any, are valid. What is the domain of x-> (1)/(x-|x|)

Find a polynomial P(z) = a + a₂z+ª₂x² of degree 2 which gives the best least squares fit for the following points: (-3,32), (-1,13), (1,14), (5,35) How to enter polynomials. Enter the formula for a polynomial using * to denote multiplication and ^ to denote the exponent. For example, if the answer is the polynomial 3 P(z) = 1-2x+z²+4.52³ then you should enter 1 - 2*x + (3/7)*x^2 + 4.5*x^3. Do not forget to use for multiplication! 35- 30- 25 20 15 10- 0 Note. You can enter polynomial coefficients either as fractions or in the decimal form, with precision up to 3 decimal places. Enter your answer: