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When the polynomial in P(x) is divided by (x plus a) the remainder equals P(a)?
When a polynomial ( P(x) ) is divided by ( (x + a) ), the remainder can be found using the Remainder Theorem. This theorem states that the remainder of the division of ( P(x) ) by ( (x - r) ) is equal to ( P(r) ). Therefore, when dividing by ( (x + a) ), which is equivalent to ( (x - (-a)) ), the remainder is ( P(-a) ), confirming that ( P(-a) ) is the value of the polynomial evaluated at ( -a ).
The remainder that results from dividing x3 plus 2x 13 by x 3 is?
To find the remainder when dividing ( x^3 + 2x + 13 ) by ( x^3 ), we can use the polynomial remainder theorem. Since the degree of the divisor ( x^3 ) is equal to the degree of the dividend ( x^3 + 2x + 13 ), the remainder will be a polynomial of lower degree than ( x^3 ). Therefore, the remainder is simply the result of the division, which is ( 2x + 13 ).
What is the remainder R when the polynomial p(x) is divided by (x - 2)?
The remainder ( R ) when a polynomial ( p(x) ) is divided by ( (x - 2) ) can be found using the Remainder Theorem. According to this theorem, the remainder is equal to ( p(2) ). Thus, to find ( R ), simply evaluate the polynomial at ( x = 2 ): ( R = p(2) ).
What is the remainder when you divide 4x3-5x2 3x-1 by x-2?
To find the remainder when dividing the polynomial (4x^3 - 5x^2 + 3x - 1) by (x - 2), we can use the Remainder Theorem. According to this theorem, the remainder is equal to the value of the polynomial evaluated at (x = 2). Calculating (4(2)^3 - 5(2)^2 + 3(2) - 1) gives: [ 4(8) - 5(4) + 6 - 1 = 32 - 20 + 6 - 1 = 17. ] Thus, the remainder is (17).
What is the reminder theorem?
The Remainder Theorem states that for a polynomial ( f(x) ), if you divide it by a linear factor of the form ( x - c ), the remainder of this division is equal to ( f(c) ). This means that by evaluating the polynomial at ( c ), you can quickly determine the remainder without performing long division. This theorem is useful for factoring polynomials and analyzing their roots.
When the polynomial in P(x) is divided by (x plus a) the remainder equals P(a)?
When a polynomial ( P(x) ) is divided by ( (x + a) ), the remainder can be found using the Remainder Theorem. This theorem states that the remainder of the division of ( P(x) ) by ( (x - r) ) is equal to ( P(r) ). Therefore, when dividing by ( (x + a) ), which is equivalent to ( (x - (-a)) ), the remainder is ( P(-a) ), confirming that ( P(-a) ) is the value of the polynomial evaluated at ( -a ).
The remainder that results from dividing x3 plus 2x 13 by x 3 is?
To find the remainder when dividing ( x^3 + 2x + 13 ) by ( x^3 ), we can use the polynomial remainder theorem. Since the degree of the divisor ( x^3 ) is equal to the degree of the dividend ( x^3 + 2x + 13 ), the remainder will be a polynomial of lower degree than ( x^3 ). Therefore, the remainder is simply the result of the division, which is ( 2x + 13 ).
What is the remainder R when the polynomial p(x) is divided by (x - 2)?
The remainder ( R ) when a polynomial ( p(x) ) is divided by ( (x - 2) ) can be found using the Remainder Theorem. According to this theorem, the remainder is equal to ( p(2) ). Thus, to find ( R ), simply evaluate the polynomial at ( x = 2 ): ( R = p(2) ).
What is the remainder when you divide 4x3-5x2 3x-1 by x-2?
To find the remainder when dividing the polynomial (4x^3 - 5x^2 + 3x - 1) by (x - 2), we can use the Remainder Theorem. According to this theorem, the remainder is equal to the value of the polynomial evaluated at (x = 2). Calculating (4(2)^3 - 5(2)^2 + 3(2) - 1) gives: [ 4(8) - 5(4) + 6 - 1 = 32 - 20 + 6 - 1 = 17. ] Thus, the remainder is (17).
Is 48 dividing by 3796 equal to 76 Remainder 58?
3,796 divided by 48 is 79 with remainder 4.
What is the reminder theorem?
The Remainder Theorem states that for a polynomial ( f(x) ), if you divide it by a linear factor of the form ( x - c ), the remainder of this division is equal to ( f(c) ). This means that by evaluating the polynomial at ( c ), you can quickly determine the remainder without performing long division. This theorem is useful for factoring polynomials and analyzing their roots.
What is the relationship between zeros and factors?
Zeros and factors are closely related in polynomial functions. A zero of a polynomial is a value of the variable that makes the polynomial equal to zero, while a factor is a polynomial that divides another polynomial without leaving a remainder. If ( x = r ) is a zero of a polynomial ( P(x) ), then ( (x - r) ) is a factor of ( P(x) ). Thus, finding the zeros of a polynomial is equivalent to identifying its factors.
What is 179 divided by 8?
22.375
Will the product of two binomials always equal a trinomial?
no, because some examples are: (a-2)(a+2) = a^2-4 (binomial) & (a+b)(c-d) = ac-ad+bc-db (polynomial) but can 2 binomials equal to a monomial?
What is 700 divided by 16?
43.75
What is 452 divided by 7?
64.5714
When dividing a 3 digit number by a 1 digit number for what divisors can you get a remainder 8?
Regardless of the dividend (the number being divided), no divisor can produce a remainder equal to, or greater than, itself..... dividing by 4 cannot result in a remainder of 5, for example, Therefore the only single-digit number which can return a remainder of 8 is 9. 35 ÷ 9 = 3 and remainder 8
