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What else can I help you with?
What is the difference between a polynomial and a quadratic equation?
Oh, dude, it's like this: all quadratic equations are polynomials, but not all polynomials are quadratic equations. A quadratic equation is a specific type of polynomial that has a degree of 2, meaning it has a highest power of x^2. So, like, all squares are rectangles, but not all rectangles are squares, you know what I mean?
Is it false if a polynomial is divided by (x-a) and the remainder equals zero then (x-a) is a factor of the polynomial?
No, it’s true. It’s the same as saying if 60 is divided by 2 and the remainder equals zero (no remainder, so it divides perfectly), 2 is a factor of 60.
Factor the polynomial x3-2x2 plus x-2?
x3 - 2x2 + x - 2 =(x - 2)(x2 + 1)
A quadratic polynomial has a degree of 2?
True Yes. Although the term 'quad' stands for four, a quadratic equation is a polynomial of second degree.
Factor the trinomial below Enter each factor as a polynomial in descending order x2 - 6x - 16?
(x + 2)(x - 8)
What is the answer to this polynomial 12a2-8a-2?
12a2-8a-2 2(6a2-4a-1)
What is the greatest common factor of 6a2-8a?
The GCF of 6a^2 and 8a is 2a.
What is the Factor the polynomial expression. Write each factor as a polynomial in descending order.?
To factor a polynomial expression, you identify common factors among the terms and express the polynomial as a product of simpler polynomials. For example, consider the polynomial ( x^2 - 5x + 6 ); it factors into ( (x - 2)(x - 3) ). Each factor is written in descending order, starting with the highest degree term. The specific steps to factor will depend on the polynomial you are working with.
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 are the natures of a root in mathematics?
When we solve an equation in mathematics we say that we find its root. Let f(x) = 0 be an equation. A root of the equation is a value k such that f(k) = 0. If f(x) is a polynomial, then f(x) = 0 is a polynomial equation. By the Factor Theorem, k is a root of this equation if and only if (x - k) is a factor of f(x). If (x - k) is a factor of f(x), then k is a simple root. If (x - k)^2 is a factor of f(x), then k is a double root. If (x - k)^3 is a factor of f(x), then k is a triple root, and so on. Thus, we can say that a root of order n, where n = 2 or n > 2, is a multiple (or repeated) root.
Factor the polynomial x2 - 5x plus 6 Write each factor as a polynomial in descending order?
(x-2)(x-3)
What is coefficient of factor?
The coefficient of a factor in a polynomial is a numerical value that multiplies that factor within the expression. For example, in the polynomial (3x^2 + 5x + 2), the coefficient of the factor (x^2) is 3, while the coefficient of (x) is 5. Coefficients can represent various quantities, such as weights or scaling factors, depending on the context in which the polynomial is used.
How can you factor a polynomial in standard form completely?
You can factor a polynomial using one of these steps: 1. Factor out the greatest common monomial factor. 2. Look for a difference of two squares or a perfect square trinomial. 3. Factor polynomials in the form ax^2+bx+c into a product of binomials. 4. Factor a polynomial with 4 terms by grouping.
Factor the polynomial 4g2-50?
2(2g2 - 25)
What is the factor polynomial 6b2-15b3?
-3b2(5b - 2)
When is a binomial a factor of a polynomial?
Suppose you have a polynomial, p(x) = a0 + a1x + a2x^2 + a3x^3 + ... + anx^n then (ax - b) is a factor of the polynomial if and only if p(b/a) = 0
The polynomial x - 2 is a factor of the polynomial Fx equals 5x2 - 6x plus 4?
False
