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Can two third-degree polynomials be added to produce a second-degree polynomial?
Yes. If the coefficient of the third degree terms in one polynomial are the additive inverses (minus numbers) of the coefficient of the corresponding terms in the second polynomial. Eg: 3x3 + 2x2 + 5 and -3x3 + x - 7 add to give 2x2 + x - 2
Describe how the Factor Theorem can be used to determine whether x plus 1 is a factor of x3-2x2-8x-5?
The factor theorem states that for any polynomial function f(x), if f(a) = 0, then (x-a) is a factor of f(x). Let f(x) = x3-2x2-8x-5. If (x+1) is a factor, then f(-1) = 0. (x+1 = x - (-1)) Input x = -1 into f: (-1)3-2(-1)2-8(-1)-5 f(-1) = -1 -2 + 8 - 5 f(-1) = 0. Since f(-1) = 0, (x+1) is a factor of x3-2x2-8x-5. Q.E.D.
What is the GCF of the polynomial 4x3 - 2x2y?
The GCF of 12x and 20x to the fourth power is 4x
What is the factor of 2x2 plus 7x-9?
The factorisation is as follows: 2x2 + 7x - 9 = (x - 1)(2x + 9).
What is a common factor of the trinomials 2x2- x- 28 and 2x2 - 15x 28?
If that's +28, the answer is (x - 4)
What is each factor as a polynomial in descending order 2x2 plus 5x - 18?
(x - 2)(2x + 9)
What is 2x2 plus 5x plus 3 as a polynomial in descending order?
2x2+5x+3 = (2x+3)(x+1) when factored
What is a factor of the polynomial 2x2 - 3x - 5?
2x2-3x-5 = (2x-5)(x+1) when factored
what is the factor the polynomial 2x2-12x-80?
2(x + 4)(x - 10)
Factor the polynomial x3-2x2 plus x-2?
x3 - 2x2 + x - 2 =(x - 2)(x2 + 1)
What type of polynomial is 2x2-6x 4?
A quadratic polynomial.
Is 2x2-72y2 a prime polynomial?
yes
What type of polynomial is 2x2 6x plus 4?
A Quadratic statement
What type of polynomial is 2x2-6x plus 4?
quadratic
What is the discriminant of the polynomial 2x2 5x 4?
The discriminant is -7
What is the factor of the polynomial expressions of 6x2 plus 15x-9?
Divide all terms by 3:- 2x2+5x-3 = (2x-1)(x+3) when factored
What is the discriminant of the polynomial 2x2 plus 4x - 9?
The discriminant is 88.
