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Let g be a polynomial function of x where g(x) = 2x^3 + 5x^2 - 28x - 15. If (x-3) is a factor of g, write an equation for g as the product of linear factors​.
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Answer :

Answer:

g(x)= (2x - 1) • (x + 3) • (x - 5)

Step-by-step explanation:

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2x³ + 5x² - 28x - 15 as the product of linear factors is (x - 3)(2x + 1)(x + 5)

Polynomial is an expression involving the operations of addition, subtraction, multiplication of variables.

Types of polynomials are quadratic, linear, cubic and so on.

Since x - 3 is a factor of 2x³ + 5x² - 28x - 15, hence 2x³ + 5x² - 28x - 15 divided by x - 3 gives 2x² + 11x + 5:

2x³ + 5x² - 28x - 15 = (x - 3)(2x² + 11x + 5) = (x - 3)(2x + 1)(x + 5)

Hence, 2x³ + 5x² - 28x - 15 as the product of linear factors is (x - 3)(2x + 1)(x + 5)

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