Option C: (x+4) and (x-1) are the factors of the equation
Explanation:
Given that the equation is
We need to determine the factors of the equation.
Splitting the middle term, we get,
Grouping the terms, we have,
Let us factor out the term (x+4), we have,
Thus, the factors of the equation are (x+4) and (x-1)
Hence, Option C is the correct answer.
The given expression is in the form of the polynomial as -4x⁴+11x³-5x²+6 and the degree of the polynomial is 4.
<h3>What is a polynomial?</h3>Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
It is given that the polynomial expression is, (-4x² + 3x + 3)(x² - 2x + 2)
We have to simplify the expression by multiplying the expression as,
=-4x²(x² - 2x + 2)+3x(x² - 2x + 2)+3(x² - 2x + 2)
=-4x⁴+8x³-8x²+3x³-6x²+6x+3x²-6x+6
= -4x⁴+11x³-5x²+6
Thus, the given expression is in the form of the polynomial as -4x⁴+11x³-5x²+6 and the degree of the polynomial is 4.
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