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What is the remainder when 2x cubed plus x minus 7 is divided by x plus 2 using the remainder theorem?
Using the remainder theorem:- The function of x becomes f(-2) because the divisor is x+2 Substitute -2 for x in the dividend: 2x3+x-7 When: f(-2) = 2(-2)3+(-2)-7 = -25 Then: -25 is the remainder
How can you tell if a binomial divides evenly into a polynomial?
You can determine if a binomial divides evenly into a polynomial by using the remainder theorem or synthetic division. If the remainder is 0, then the binomial divides evenly into the polynomial.
Can a theorem be proven using a corollary?
No, a corollary follows from a theorem that has been proven. Of course, a theorem can be proven using a corollary to a previous theorem.
What statement to a theorem can be proven easily using the theorem?
A corollary.
Is a theorem a statement that can be easily proved using a corollary?
No. A corollary is a statement that can be easily proved using a theorem.
What is the remainder when 2x cubed plus x minus 7 is divided by x plus 2 using the remainder theorem?
Using the remainder theorem:- The function of x becomes f(-2) because the divisor is x+2 Substitute -2 for x in the dividend: 2x3+x-7 When: f(-2) = 2(-2)3+(-2)-7 = -25 Then: -25 is the remainder
How can you tell if a binomial divides evenly into a polynomial?
You can determine if a binomial divides evenly into a polynomial by using the remainder theorem or synthetic division. If the remainder is 0, then the binomial divides evenly into the polynomial.
What is the remainder thereom?
The remainder theorem states that if you divide a polynomial function by one of it's linier factors it's degree will be decreased by one. This theorem is often used to find the imaginary zeros of polynomial functions by reducing them to quadratics at which point they can be solved by using the quadratic formula.
Can a theorem be proven using a corollary?
No, a corollary follows from a theorem that has been proven. Of course, a theorem can be proven using a corollary to a previous theorem.
What statement to a theorem can be proven easily using the theorem?
A corollary.
A corollary is a statement that can easily be proved using a theorem?
A corollary is a statement that can easily be proved using a theorem.
A corollary is a statement that can be easily proved using a theorem?
No. A corollary is a statement that can be easily proved using a theorem.
Is a theorem a statement that can be easily proved using a corollary?
No. A corollary is a statement that can be easily proved using a theorem.
What is the formula for a theorem?
There is no formula for a theorem. A theorem is a proposition that has been or needs to be proved using explicit assumptions.
What is the remainder when 4x cubed plus 6x squared plus 3x plus 2 is divided by 2x plus 3 showing your work by means of the remainder theorem?
Using the remainder theorem:- f(x) = 4x3+6x2+3x+2 f(x) becomes f(-3/2) or f(-1.5) because the divisor is 2x+3 f(-1.5) = 4(-1.5)3+6(-1.5)2+3(-1.5)+2 = -5/2 or -2.5 So the remainder is -2.5
Using the remainder theorum determine the remainder when xcubed PLUS 3xsquared - x - 2 is divided by x PLUS 3 TIMES x PLUS 5 theres brackets around x PLUS 3 and seperatly around x PLUS 5?
(x^3 + 3x^2 - x - 2)/[(x + 3)(x + 5) in this case you can use the long division to divide polynomials and to find the remainder of this division. But you cannot use neither the synthetic division to divide polynomials nor the Remainder theorem to determine the remainder. You can use both the synthetic division and the Remainder theorem only if the divisor is in the form x - c. In this case the remainder must be a constant because its degree is less than 1, the degree of x - c. The remainder theorem says that if a polynomial f(x) is divided by x - c, then the remainder is f(c). If the question is to determine the remainder by using the remainder theorem, then you are asking to find the value of f(-3) when you are dividing by x + 3, or f(-5)when you are dividing by x + 5 . Just substitute -3 or -5 with x into the dividend x^3 + 3x^2 - x - 2, and you can find directly the value of the remainder. f(-3) = (-3)^3 + 3(-3)^2 - (-3) - 2 = -27 + 27 + 3 - 2 = 1 (remainder is 1) f(-5) = (-5)^3 + 3(-5)^2 - (-5) - 2 = -125 + 75 + 5 - 2 = -47 (remainder is -47).
Can a theorem be easily proved using corollary?
Yes, but only a corollary to another theorem that has been proved. A corollary follows from a theorem.
