Respuesta :
In my opinion the easiest way to do this is using synthetic division:
Please see attached work below:
Now, the remainder value is 6

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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