593 Questions for the topic Polynomials

what is the quotient and the remainder

6x3 - 6x2 + x + 1 divided by x + 2

what is the quotient and the remainder

6x3 - 6x2 + x + 1 divided by x + 2

How to solve equation 12y^4 - 8y^3 - 7y^2 + 2y + 1?

Using substitution y = 1/x

precalculus math

for the polynomial below, 3 is a zero. g(x)=x^3-3x^2-4x+12. express g(x) as a product of linear factors

How many roots does this polynomial have

How many real or complex roots does the following polynomial have?

math question (solving equation for x in terms of other letters)

equation: 1/a - 1/x = 1/x - 1/b

Polynomial question

If (X-1/X)2+(X+1/X)2=16, find the value of X6+1/X6

Construct a polynomial function with the following properties

fifth degree, 1 is a zero of multiplicity 2,  -2 is the only other zero, leading coefficient is 3.

07/12/19

Reviewing Potential Errors

Hi,I was wondering if anyone is able to check over a major assignment I have completed, and point out any errors I may have made. I am fairly confident it is all correct, but if someone can give it... more

Polynomial Function

Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1 and zeros at  x= 1, 2, 5

Explanation of polynomials

Explain why the remainder upon dividing a polynomial P(x) by x-α has a degree of zero.

Quadratic Equation

The quadratic equation 2x2-3x-4 = 0 has roots p and q.i) Without solving the equation, determine: p3+q3ii) Hence or otherwise find a quadratic equation with integer coefficients which has roots p3... more

07/02/19

Polynomial Question

When the polynomial P(x) is divided by x-1, the remainder is 2, and when divided by x-2 the remainder is 1. What is the remainder when P(x) is divided by (x-1)(x-2).

Polynomials Question

One root of ax^2 + mx + n = 0 is three times the other. Show that 3m^2 - 16an = 0.

Dividing the polynomial P(x) by x + 3 yields a quotient Q(x) and a remainder of 8. If Q(3)=4, find P(3) and P(−3).

P(3)= ?P(−3)= ?Can't figure out the answer to this problem at all. I have seen this question asked on here before, but the math was a little confusing. Can someone please explain the answer and the... more

Comparison between multiplying and dividing polynomials

In what ways are the steps for the long division of polynomials algorithm similar to the steps for the multiplying polynomials algorithm? In what ways are they different?

Write the polynomial q(x) =2x^-10x+5 as a linear combination of the polynomials p1(x) =x^2+2x-3,p2(x) =2x^2+2x+3,p3(x) =3x^2-2x+1

Write the polynomial q(x) =2x^-10x+5 as a linear combination of the polynomials p1(x) =x^2+2x-3,p2(x) =2x^2+2x+3,p3(x) =3x^2-2x+1

Special Features of a Polynomial Graph

How important are the "special features" of a polynomial graph? When would you need to find all of the precise values of special features of the graph of a polynomial function? When would it be... more

End Behaviors of any Relation

Does the graph of any relation have end behaviors that can be described the same way as the end behaviors of a polynomial relation?

Difficult algebra question

Lilly is feeding animals. for every squirrel she feeds them 1 apple, for every deer, she feeds 4 apples, for every rabbit 2 apples, for every bird 3 apples, and for every bear 6 apples. if she... more

question about algebra.

Lilly is feeding animals. for every squirrel she feeds them 1 apple, for every deer, she feeds 4 apples, for every rabbit 2 apples, for every bird 3 apples, and for every bear 6 apples. if she... more

Polynomials and real numbers

If two polynomial equations have real solutions, then will the equation that is the result of adding, subtracting, or multiplying the two polynomial equations also have real solutions? Will the... more
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