On solving the provided question, we can say that - polynomial has the binomial (3x+2) as a component, then the root of that polynomial is x = -2/3.
A polynomial is a mathematical statement made up of coefficients and uncertainty that exclusively uses additions, subtractions, multiplications, and positive integer powers of variables. A single indeterminate x polynomial is represented by the expression x2 4x + 7. A polynomial in mathematics is an expression made up of variables (also known as indeterminates), coefficients, addition, subtraction, multiplication, and non-negative integer powers of variables.
If a polynomial has the binomial (3x+2) as a component, then the root of that polynomial is x = -2/3.
[tex]6(-2/3)^3 + 3(-2/3)^2 + 4(/2/3) + 2 = -16/9 +4/3 - 8/3 + 2 = -10/9[/tex]
[tex]12(-2/3)^2 + 23(-2/3) + 10 = 0[/tex]
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