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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
How do you determine whether a number is a factor of another number?
If N is the number, and f is the number that you want to test as a possible factor, then first of all:test N > f (this must be true, the factors are always smaller in magnitude)next perform N ÷ f (N divided by f). If the quotient (answer to a division problem) is a whole number with no remainder or fractional part, then f is a factor of N.If the quotient is not a whole number (meaning there is a remainder), then f is not a factor.
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.
If a polynomial is divided by (x - a) and the remainder equals zero then (x - a) is a factor of the polynomial.?
Yes, that's correct. According to the Factor Theorem, if a polynomial ( P(x) ) is divided by ( (x - a) ) and the remainder is zero, then ( (x - a) ) is indeed a factor of the polynomial. This means that ( P(a) = 0 ), indicating that ( a ) is a root of the polynomial. Thus, the polynomial can be expressed as ( P(x) = (x - a)Q(x) ) for some polynomial ( Q(x) ).
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
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 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.
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
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.
What are the details of remainder theorem?
Remainder Theorem:- When f(x) is divided by (x-a) the remainder is f(a) Tor example:- f(x) x3-2x2+5x+8 divided by x-2 f(2) 8-8+10+8 = 18 So the remainder is 18 if there is no remainder then the divisor is a factor of the dividend.
How would you test to see whether 7 is a factor of 29?
Divide 7 into 29. If the answer is an integer with no remainder, it's a factor.
How do you determine whether a number is a factor of another number?
If N is the number, and f is the number that you want to test as a possible factor, then first of all:test N > f (this must be true, the factors are always smaller in magnitude)next perform N ÷ f (N divided by f). If the quotient (answer to a division problem) is a whole number with no remainder or fractional part, then f is a factor of N.If the quotient is not a whole number (meaning there is a remainder), then f is not a factor.
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 do you find the common factor in numbers?
You determine all numbers that will can be divided evenly (without a remainder) into the object numbers. The highest number doing that is the common factor.
