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The expression (x - 5) is a factor of the polynomial (2x^2 - 7x - 15) if substituting (x = 5) yields a result of zero for the polynomial. To determine this, we can use polynomial long division or synthetic division. If (2x^2 - 7x - 15) can be divided by (x - 5) without a remainder, then (x - 5) is indeed a factor of the polynomial. Otherwise, it is not a factor.
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What is the relationship between binomial and a polynomial?
A binomial is a polynomial with exactly 2 terms.
What best describes the relationship between x plus 1 and the polynomial x2 minus x minus 2?
X2 - X - 2(X + 1)(X - 2)===============(X + 1) is a factor of the above polynomial.
What is the Best Describes The Relationship Between (x - 2) And The Polynomial 2x3 plus X2 - 3?
To determine the relationship between ( (x - 2) ) and the polynomial ( 2x^3 + x^2 - 3 ), we can perform polynomial division. If ( (x - 2) ) divides the polynomial evenly, then ( (x - 2) ) is a factor of the polynomial. Alternatively, we can evaluate the polynomial at ( x = 2 ); if the result is zero, it confirms that ( (x - 2) ) is a factor. In this case, substituting ( x = 2 ) gives ( 2(2)^3 + (2)^2 - 3 = 16 + 4 - 3 = 17 ), indicating that ( (x - 2) ) is not a factor of the polynomial.
Is there a relationship between the degree of a polynomial and the number of times its graphed curve changes direction?
I think that there is not .
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.
Which Best describes the relationship between (x plus 1) and the polynomial x2 - x - 2?
No it’s not a factor
What is the relationship between binomial and a polynomial?
A binomial is a polynomial with exactly 2 terms.
What best describes the relationship between x plus 1 and the polynomial x2 minus x minus 2?
X2 - X - 2(X + 1)(X - 2)===============(X + 1) is a factor of the above polynomial.
What is the Best Describes The Relationship Between (x - 2) And The Polynomial 2x3 plus X2 - 3?
To determine the relationship between ( (x - 2) ) and the polynomial ( 2x^3 + x^2 - 3 ), we can perform polynomial division. If ( (x - 2) ) divides the polynomial evenly, then ( (x - 2) ) is a factor of the polynomial. Alternatively, we can evaluate the polynomial at ( x = 2 ); if the result is zero, it confirms that ( (x - 2) ) is a factor. In this case, substituting ( x = 2 ) gives ( 2(2)^3 + (2)^2 - 3 = 16 + 4 - 3 = 17 ), indicating that ( (x - 2) ) is not a factor of the polynomial.
What describes the relationship between x-3 and the polynomial x3 4x2 plus 2?
People wont understand if you place it in that format, the polynomial should look like x^3+4x^2+2.
What describes a relationship between several variables in an algebraic equation?
an algebraic equation that describes a relationship between several variables is called a?
Is there a relationship between the degree of a polynomial and the number of times its graphed curve changes direction?
I think that there is not .
Which Best describes the relationship between (x - 2) and the polynomial 2x3 plus x2 - 3?
(x-2) is NOT a factor APEX 2021
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.
Which word best describes the relationship between the founders when they started hogwarts?
Rocky best describes the relationship between Slytherin and the other founders - but the other three were friends.
What is an expression that describes that describes the relationship between each input and output?
function rule
What is the relationship between a monomial and polynomial?
They both have variables involved. A polynomial is an expression that can be expressed as a0+a1x+a2x2+a3x3+...+...aixi...+...+anxn, for integers i, with 0<=i<=n A monomial can be expressed as aixi with i an integer between 0 and n.
