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Write How the Factor Theorem can be used to determine whether x plus 1 is a factor of x3-2x2-8x-5?
we can use direct substitution. do this we must take the opposite of the constant in the factor that we want to test. -1*(1)=-1
now we simply take f(-1).
=-1^3-(-2)^2-8(-1)-5
=-1-4+8-5
=-2
since we got -2 in the end (x+1) is not a factor of this polynomial.
According to factor theorem it can only be a factor is the remainder is 0
What else can I help you with?
Use the remainder theorem and the factor theorem to determine whether y-3 is a factor of y4 plus 2y2-4?
The remainder is not zero so y-3 is not a factor of y^4+2y^2-4
How can you determine whether a polynomial equation has imaginary solutions?
To determine whether a polynomial equation has imaginary solutions, you must first identify what type of equation it is. If it is a quadratic equation, you can use the quadratic formula to solve for the solutions. If the equation is a cubic or higher order polynomial, you can use the Rational Root Theorem to determine if there are any imaginary solutions. The Rational Root Theorem states that if a polynomial equation has rational solutions, they must be a factor of the constant term divided by a factor of the leading coefficient. If there are no rational solutions, then the equation has imaginary solutions. To use the Rational Root Theorem, first list out all the possible rational solutions. Then, plug each possible rational solution into the equation and see if it is a solution. If there are any solutions, then the equation has imaginary solutions. If not, then there are no imaginary solutions.
How would you determine whether 9 is a factor of 291?
Add up the digits of 291. If they total a multiple of 9, 9 is a factor.
What is factor theorem?
x-a is a factor of the polynomial p(x),if p(a)=0.also,if x-a is a factor of p(x), p(a)=0.
How can you test to determine if a factor is a factor of another number?
Divide the factor into the number. If the answer is a whole number, the factor is a factor.
Use the remainder theorem and the factor theorem to determine whether y-3 is a factor of y4 plus 2y2-4?
The remainder is not zero so y-3 is not a factor of y^4+2y^2-4
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
How can you determine whether a polynomial equation has imaginary solutions?
To determine whether a polynomial equation has imaginary solutions, you must first identify what type of equation it is. If it is a quadratic equation, you can use the quadratic formula to solve for the solutions. If the equation is a cubic or higher order polynomial, you can use the Rational Root Theorem to determine if there are any imaginary solutions. The Rational Root Theorem states that if a polynomial equation has rational solutions, they must be a factor of the constant term divided by a factor of the leading coefficient. If there are no rational solutions, then the equation has imaginary solutions. To use the Rational Root Theorem, first list out all the possible rational solutions. Then, plug each possible rational solution into the equation and see if it is a solution. If there are any solutions, then the equation has imaginary solutions. If not, then there are no imaginary solutions.
How can you use the prime factorization to determine whether 35 is a factor of the number?
If the prime factorization contains a 5 and a 7, 35 is a factor.
How would you determine whether 9 is a factor of 291?
Add up the digits of 291. If they total a multiple of 9, 9 is a factor.
Determine whether each binomial is a factor of x-4?
There is one way to determine weather each binomial is a factor of X-4. The division of polynomials is what determines each binomial.
What is a critical factor in determining whether something gets produced as a public good-?
A critical factor in determine whether something gets produced as a public good is if the benefits are are greater than the cost.
What is the use of remainder and factor theorem in your daily life?
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How can you test to determine whether a number is a factor of another numberr?
Divide the smaller number into the bigger number. If the answer comes out even with no remainder, it's a factor.
How do you determine whether 7 is a factor of 2395?
To find out if 7 is a factor of 2395, divide 7 into 2395 and you'll get 342 and a remainder of 1. This means 7 is not a factor of 2395.
How can you test to determine whether a number is a factor of another number?
Divide the larger number by the smaller. If the result has no remainder (no decimal) then the smaller number is a factor of the larger.
