Mar 11, 2021 · Final answer: To simplify the expressions 6x3, 6x6, 10x3, and 10x6, you need to multiply the numbers together. Explanation: To simplify the expression 6x3, you need to multiply the numbers …

The subtraction of 6x3 + 12x2 from 6x3 − 14x + 1 was incorrect; it should yield −12x2 − 14x + 1 instead of −26x2 − 14x + 1. Therefore, the proper representation of the remainder should reflect this correction.

Jun 10, 2019 · To find the additive inverse of the polynomial −6x3+4x2−4x, we first need to understand what an additive inverse is. The additive inverse of any number or expression is the value that, when …

Aug 2, 2025 · To determine the potential roots of the polynomial q(x) = 6x3 + 19x2 − 15x − 28, we can apply the Rational Root Theorem. This theorem helps us find rational roots of a polynomial by stating …

The division of 12x5 − 6x4 −24x3 by −6x3 results in −2x2 + x + 4. Thus, the answer is option A. This process involves dividing each term of the polynomial separately by the divisor.

Oct 20, 2024 · The given equation can be simplified to find that it is a fourth-degree polynomial. According to the Fundamental Theorem of Algebra, a polynomial of degree 4 has exactly 4 roots, …

The roots of the cubic polynomial 6x³ - 12x² - 48x = 0 are -2, 0 and 4. What is the degree of a cubic polynomial? The degree of a cubic polynomial is 3. Degree of a polynomial is the highest power of …

Dec 23, 2016 · To factor the polynomial f (x) = 6x3 − 13x2 − 4x + 15, we first find a root to begin polynomial long division. After obtaining the quadratic factor, we apply factoring techniques which …

The numerator of the division is 3x4 + 6x3 + 2x2 +9x + 10 and the denominator is x +2. Solve the given polynomial P (x) = 3x4 +6x3 + 2x2 + 9x + 10 to obtain the quotient by the use of synthetic division. …

To simplify the expression −6x3 ⋅ ⋅ y2 ⋅ y6, we will follow these steps: Identify and combine like terms: The expression includes powers of x and y. We have x3 ⋅ x, which we can combine since they both …