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When a certain polynomial is divided by x - 3 its quotient is xsquared - 5x - 6 and its remainder is 5 What is the polynomial?
From the Division Algorithm for Polynomials theorem,
f(x) = q(x)g(x) + r(x) or we say:
dividend = (quotient)(divisor) + (remainder)
In our case,
quotient = x^2 - 5x - 6; divisor = x - 3; and remainder = 5.
Substitute what you know into the formula, and you will have:
f(x) = (x^2 - 5x - 6)(x - 3) + 5
f(x) = x^3 - 5x^2 - 6x - 3x^2 + 15x + 18 + 5
f(x) = x^3 - 5x^2 - 3x^2 - 6x + 15x + 18 + 5
f(x) = x^3 - 8x^2 + 9x + 23 (this is the required polynomial)
What else can I help you with?
When divide a certain number by 8 I get a quotient of 24 and a remainder of 5. What is the number?
The number is 197 because 197/8 = 24 with a remainder of 5
When you divide a certain number by 13 the quotient is -18 and the remainder is 7what is the number?
-241 * * * * * Actually, the answer is 13*(-18) + 7 = -227 The remainder is ALWAYS positive. Thus -227/13 = (-234+7)/13 = -234/13 + 7/13 = -18 + 7/13
The quotient of a certain number plus 3 is 8 what is the number?
24
The quotient of 50 and a number is 2?
Yes. The quotient means divide so 50 divided by a certain number equals 2. The number can be found by performing some simple algebra. Let the number be x. 50 divided by x = 250 =2x 25 =x Therefore x equals 25 and the quotient of 50 and 25 is 2!
What is remainder form?
When dividing numbers, after getting a whole number if there is a remainder don't keep dividing. Just write it down. The example of that is when you want to put a certain number of items in boxes but you have too many. 150 bottles and you want to put 12 in each box, You'll have 12 boxes with a remainder of 6.
When you divide polynomials is it a binomial or a monomial?
If the quotient of a certain binomial and 20x2 is is the polynomial
When you divide a certain number by 13 the quotient is -18 and the remainder is 7 find the number?
-227
When divide a certain number by 8 I get a quotient of 24 and a remainder of 5. What is the number?
The number is 197 because 197/8 = 24 with a remainder of 5
When sheryl divided 11783 by a certain number she got a quotient of 512 and a remainder of 7.what number did she use?
11783/23 = 512 remainder 7
When you divide a certain number by 13 the quotient is -18 and the remainder is 7what is the number?
-241 * * * * * Actually, the answer is 13*(-18) + 7 = -227 The remainder is ALWAYS positive. Thus -227/13 = (-234+7)/13 = -234/13 + 7/13 = -18 + 7/13
The quotient of a certain number plus 3 is 8 what is the number?
24
A number that can be divided and not have a remainder?
If it can be divided by another certain number, it doesn't have a remainder...That is just repeating the question, not helping.
Is -4 a polynomial?
is -4 a polynomial? This depends on what you accept as a definition A polynomial is often defined as a set of things in order obeying certain rules. ( these things and rules can be very complicated) A polynomial EQUATION is an equation between two polynomials When using only real numbers and "regular" math rules -4 is a polymomial of degree 0 x = -4 is a polynomial equation is a polynomial of degree 1 it is the same as x +4 = 0 It can be represented by { 4, 0} Sometimes the terms are used interchangably
What is the word quotient?
The term "quotient" generally refers to the result of division in mathematics, specifically the number obtained when one number is divided by another. For example, in the division of 10 by 2, the quotient is 5. In a broader context, "quotient" can also describe a result or outcome derived from a certain process or set of conditions, such as in the phrase "intelligence quotient" (IQ), which measures cognitive abilities.
What is an IQ and how is it IQ measrued?
Your IQ is your intelligence quotient. You can determine your IQ by taking a certain test. :)
What is it called when numbers can be divided by a certain number with no remainder?
factors& multiples
When a certain two digit number is divided by 7 the remainder is 5 When it is divided by 9 the remainder is also 5 What is the smallest possible value of the number?
68686868
