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If a polynomial is divided by (x - a) and the remainder equals zero then (x - a) is a factor of the polynomial.?
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When dividing a polynomial F x by the binomial x - a a remainder not equal to zero tells you that x - a is not a of the polynomial?
factor
A remainder of 0 in the process of doing synthetic division tells you that you have found a root or a factor of the polynomial?
true
What can be divided by a number without a remainder?
its self If you divide and get no remainder then the divisor is a FACTOR of the dividend.
How do you solve a factoring polynomials problem if there is no greatest common factor?
If there is no common factor then the polynomial cannot be factorised. If there is no common factor then the polynomial cannot be factorised. If there is no common factor then the polynomial cannot be factorised. If there is no common factor then the polynomial cannot be factorised.
What are the solutions of the equation x3 plus 3x2-x-3 equals 0?
the solutions to this equation are -1,+1 and -3. you can solve this equation by using the polynomial long division method. we basically want to factorize this and polynomial and equate its factors to zero and obtain the roots of the equation. By hit and trial , it clear that x=1 i.e is a root of this equation. So (x-1) should be a factor of the given polynomial (LHS). Divide the polynomial by x-1 using long division method and you will get the quotient as x2+4x+3 and remainder would be 0 ( it should be 0 as we are dividing the polynomial with its factor. Eg when 8 is divided by any of its factor like 4,2 .. remainder is always zero ) Now, we can write the given polynomial as product of its factors as x3+3x2-x-3 = (x-1)(x2+4x+3) =(x-1)(x+1)(x+3) [by splitting middle term method] so the solutions for the given polynomial are obtained when RHS = 0, Hence x=-1 , X = +1, x=-3 are the solutions for this equation.
If a polynomial is divided by (x-a) and the remainder equals zero then (x-a) is a factor of the polynomial?
false - apex
Is it false if a polynomial is divided by (x-a) and the remainder equals zero then (x-a) is a factor of the polynomial?
No, it’s true. It’s the same as saying if 60 is divided by 2 and the remainder equals zero (no remainder, so it divides perfectly), 2 is a factor of 60.
What is the factor theorem?
In algebra, the factor theorem is a theorem linking factors and zeros of a polynomial. It is a special case of the polynomial remainder theorem.The factor theorem states that a polynomial has a factor if and only if
What does factor theorem mean?
In algebra, the factor theorem is a theorem linking factors and zeros of a polynomial. It is a special case of the polynomial remainder theorem.The factor theorem states that a polynomial has a factor if and only if
When dividing a polynomial F x by the binomial x - a a remainder not equal to zero tells you that x - a is not a of the polynomial?
factor
A remainder of zero in the process of doing synthetic division tells you that you have found a root of the polynomial function and a factor of the polynomial. A. True?
true
When a remainder of 1 or more in the process of doing synthetic division tells you that you have found a root of the polynomial function and a factor of the polynomial.?
The statement is not true.
When dividing the polynomial x3 4x2 5x 2 by x 2 the remainder is 0 making x 2 a factor?
Yes, if there is no remainder after division, the divisor is a factor.
The polynomial x - 2 is a factor of the polynomial Fx equals 5x2 - 6x plus 4?
False
A remainder of 0 in the process of doing synthetic division tells you that you have found a root or a factor of the polynomial?
true
Is 4 a factor of 88?
Yes, because 88 is evenly divisibly by 4. 88 divided by 4 equals 22, with 0 remainder. Since the remainder is 0, we say that 88 is "evenly divisible" by 4, and 4 "is a factor of" 88.
What numbers is a factor of 60 9 or 7 or 4 or 8?
4 is a factor since 60 divided by 4 is 15, the others are not. To see if it is a factor, just see if it 60 divided by that number has a remainder or not. If the remainder is 0, it is a factor, if the remainder is non-zero it is not.
