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In my opinion the easiest way to do this is using synthetic division:


Please see attached work below:


Now, the remainder value is 6


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The remainder when 7x² + 15x - 12 is divided by x+3 is 6

A polynomial is an expression consisting of the operations of addition, subtraction, multiplication of variables. There are different types of polynomials such as quadratic, cubic, etc.

A quadratic polynomial is of degree two and it has two solutions.

Given that a polynomial 7x² + 15x - 12 is divided by x+3, the remainder is gotten by:

x + 3 = 0

x = -3

f(-3) = 7(-3)² + 15(-3) - 12 = 6

Hence the remainder when 7x² + 15x - 12 is divided by x+3 is 6

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