algebra chapter 5

finding zeros of a transformed cubic function

move number to other side. divide by leading coefficient. square root by 3.

how do you find those 2 imaginary zeros

put each zero in the equation with x. then put x squared plus 1

Write a polynomial function with rational coefficients so that P(x) = 0 has the given roots.

set each number equal to x. then use the opposite sign to subtract or add it to x and set all equal to one zero. foil. cancel out.

Find the zeros of each function. State the multiplicity of any multiple zeros.

solve and set equal to x. mult by the exponent.

Write each polynomial in standard form. Then classify it by degree and by number of terms.

write each equation from greatest to least polynomial. then write what type of equation it is.

quartic function w 2 zeros has what

2 more imaginary zeros

Find all possible roots for each equation (real or complex).

check to see if it is factored all the way. then do ask on calculator to find zeros. then do p/q and do synthetic division to find other zeros.

Solve each equation.

factor as far as you can. if you get to a trinomial, check discriminant, and do Kuhl. solve to 0, even if there are imaginary numbers.

Find the real solutions of each equation by graphing. Where necessary, round to the nearest hundredth.

factor. if not, use calculator to find zeros.

p=

factors of constant

q=

factors of leading coefficient