The value of the constant 'k' in the factored form is 2.
The correct answer is an option (C)
"It is a mathematical expression that contains two or more algebraic terms that are added, subtracted, or multiplied."
"It means decomposing the given polynomial into a product of two or more polynomials "
For given question,
We have been given the factored form of polynomial.
[tex]8x^3 + 6x^2 - 32x - 24 = 2(x + k)(x - k)(4x + 3)[/tex]
We can write the given polynomial as,
[tex]8x^3 + 6x^2 - 32x - 24 \\\\=2(4x^3+3x^2-16x-12)\\\\=2(x^2-4)(4x+3)\\\\=2(x^2-2^2)(4x+3)\\\\=2(x+2)(x-2)(4x+3)[/tex]
This means, the value of k is 2.
Therefore, the value of the constant 'k' in the factored form is 2.
The correct answer is an option (C)
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