(x^3 + 3x^2 - x - 2)/[(x + 3)(x + 5) in this case you can use the long division to divide polynomials and to find the remainder of this division. But you cannot use neither the synthetic division to divide polynomials nor the Remainder theorem to determine the remainder. You can use both the synthetic division and the Remainder theorem only if the divisor is in the form x - c. In this case the remainder must be a constant because its degree is less than 1, the degree of x - c.
The remainder theorem says that if a polynomial f(x) is divided by x - c, then the remainder is f(c).
If the question is to determine the remainder by using the remainder theorem, then you are asking to find the value of f(-3) when you are dividing by x + 3, or f(-5)when you are dividing by x + 5 . Just substitute -3 or -5 with x into the dividend x^3 + 3x^2 - x - 2, and you can find directly the value of the remainder.
f(-3) = (-3)^3 + 3(-3)^2 - (-3) - 2 = -27 + 27 + 3 - 2 = 1 (remainder is 1)
f(-5) = (-5)^3 + 3(-5)^2 - (-5) - 2 = -125 + 75 + 5 - 2 = -47 (remainder is -47).
Basketball brackets are used in basketball tournaments to determine the winnners and other placements of the teams. There are several different types of brackets used in basketball tournaments.
The different types of brackets are: * round brackets, open brackets or parentheses: ( ) * square brackets, closed brackets or box brackets: [ ] * curly brackets, squiggly brackets, swirly brackets, braces, or chicken lips: { } * angle brackets, diamond brackets, cone brackets or chevrons: < > or ⟨ ⟩
The different types of brackets are: * round brackets, open brackets or parentheses: ( ) * square brackets, closed brackets or box brackets: [ ] * curly brackets, squiggly brackets, swirly brackets, braces, or chicken lips: { } * angle brackets, diamond brackets, cone brackets or chevrons: < > or ⟨ ⟩
To install window shutters, first measure the window to determine the size needed. Then, drill holes for the mounting brackets and attach the brackets to the window frame. Finally, secure the shutters onto the brackets and make any necessary adjustments for proper fit.
round brackets, open brackets or parentheses: ( )square brackets, closed brackets or box brackets: [ ]curly brackets, squiggly brackets, swirly brackets, braces, or chicken lips: { }angle brackets, diamond brackets, cone brackets or chevrons: < > or ⟨ ⟩
* round brackets, open brackets or parentheses: ( ) * square brackets, closed brackets or box brackets: [ ] * curly brackets, squiggly brackets, swirly brackets, braces, or chicken lips: { }
* round brackets, open brackets or parentheses: ( ) * square brackets, closed brackets or box brackets: [ ] * curly brackets, squiggly brackets, swirly brackets, braces, or chicken lips: { }
To determine how much taxes will be taken out of your income, you can use a tax calculator or consult the tax brackets provided by the government. These brackets outline the percentage of your income that will be taxed at different levels. Additionally, you can review your pay stubs to see the amount of taxes withheld by your employer.
They are a form of punctuation. Here are some examples of brackets: ( ) - parentheses [ ] - brackets or square brackets { } - braces or curly brackets < > - angular brackets
They are a form of punctuation. Here are some examples of brackets: ( ) - parentheses [ ] - brackets or square brackets { } - braces or curly brackets < > - angular brackets
To install shelves in a closet, first measure the space and determine the desired shelf placement. Next, mark the locations for the shelf brackets on the wall. Use a level to ensure they are straight. Install the brackets using screws and anchors for support. Finally, place the shelves on top of the brackets and secure them in place.
Brackets are punctuation marks used in pairs to set apart or interject text within other text. In the United States, "bracket" sometimes refers specifically to the square or box type.There are four main types of brackets:round brackets, open brackets or parentheses: ( )square brackets, closed brackets or box brackets: [ ]curly brackets, squiggly brackets, swirly brackets, braces, or chicken lips: { }angle brackets, diamond brackets, cone brackets or chevrons: < > or ⟨ ⟩