Get Expert Help with Polynomials: Examples, Word Problems, and Practice Questions

Find the roots of the quadratic polynomials:
$f (x) = 4 x^{2} - 3 x - 1$

boitshupoO 2021-09-15

Simplify each rational expression. You will need to use factoring by grouping.
$\frac{x^{2} - 2 x + a x - 2 a}{x^{2} - 2 x + 3 a x - 6 a}$

foass77W 2021-09-15

Find f+g, f-g, fg and $\frac{f}{g}$ . Then determine the domain for each function.
$f (x) = 3 x^{2} - 14 x + 16, g (x) = x - 2$

Anonym 2021-09-15

Multiply the algebraic expressions using the FOIL method, and simplify.
$(3 t - 2) (7 t - 4)$

Maiclubk 2021-09-15

Find all the real and complex zeros of the following polynomials.
$f (x) = x^{4} - 4 x^{3} + 7^{2} - 16 x + 12$

vestirme4 2021-09-15

Express the polynomial f (x) in terms of elementary symmetric polynomials.
$x_{1}^{3} + x_{2}^{3} + x_{3}^{3} - x_{1} x_{2} x_{3}$

ruigE 2021-09-15

Multiply the polynomials $(x - 1) (x^{4} + x^{3} + x^{2} + x + 1)$ using a table. Generalize the pattern that emerges by writing down an identity for $(x - 1) (x^{n} + x^{n - 1} + \dots + x^{2} + x + 1)$ for n a positive integer.

Annette Arroyo 2021-09-14

Consider the following polynomials over $Z_{8}$ where a is written for [a] in $Z_{8}$ :
$f (x) = 2 x^{3} + 7 x + 4, g (x) = 4 x^{2} + 4 x + 6, h (x) = 6 x^{2} + 3$
Find each of the following polynomials with all coefficients in $Z_{8}$
$g (x) + h (x)$

mattgondek4 2021-09-14

If B is the standart basis of the space $P_{3}$ of polynomials, then let $B = 1, t, t^{2}, t^{3}$ . Use coordinate vectors to test the linear independence of the set of polynomials below. Explain you work.
$1 + 3 t^{2} - t^{3}, t + 6 t^{3}, 1 + t + 3 t^{2}$

e1s2kat26 2021-09-14

Factor each polynomial completely. If the polynomial cannot be factored, say it is prime.
$9 x^{2} - 24 x + 16$

iohanetc 2021-09-14

Factor the polynomial.
$12 x^{2} - x - 6$

Tyra 2021-09-14

Factor each of the following polynomials completely. Indicate any that are not factorable using integers.
$3 x^{4} - 48$

generals336 2021-09-13

Determine if the following set of polynomials fors a basis of $P_{3}$
$p_{1} = 3 + 7 t,$

$p_{2} = 5 + t - 2 t^{3},$

$p_{3} = t - 2 t^{2},$

$p_{4} = 1 + 16 t - 6 t^{2} + 2 t^{3}$

Line 2021-09-13

Common derivative polynomials:
$\frac{d}{d x} (c) = 0$

Carol Gates 2021-09-13

What is the sum of $6 x^{3} - 5 x + 2$ and $- 2 x^{3} - 4 x + x - 8$ ?

bobbie71G 2021-09-13

Determine the third and fourth Taylor polynomials of $x^{3} + 3 x - 1$ at $x = - 1$

CoormaBak9 2021-09-13

Find all the roots (real and imaginary) of the given polynomials. Describe multiplicity when applicable. Please show all work and simplify your answers.
$f (x) = x^{4} - 8 x^{2} - 8 x + 15$

snowlovelydayM 2021-09-13

In the given equation as folows , use a computer algebra system to find the indicated Taylor polynomials for the function f. Graph the function and the Taylor polynomials :-
$f (x) = \tan π x$
$(a) n = 3, c = 0$

Kye 2021-09-13

Find all roots of each of the of the following quartic polynomials:
a) $z^{4} + \sqrt{10} z + \frac{1}{4}$ using factorization into two quadratic polynomials

Tammy Todd 2021-09-13

Factor the following polynomials.
a) $x^{2} - 6 x + 9$
b) $x^{2} - 25$
c) $3 x^{2} - 21 x + 30$

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Precalculus

Get Expert Help with Polynomials: Practice Questions and Examples