What is the quotient: (3x2 + 8x – 3) ÷ (x + 3) ? . answer. a) 3x + 5, r = 1. b) 3x – 1. c) 3x + 1. d) 3x – 5.

we have

Simplify the numerator------> complete the square

equate the numerator to zero

Group terms that contain the same variable, and move the constant to the opposite side of the equation

Factor the leading coefficient

Complete the square. Remember to balance the equation by adding the same constants to each side.

Rewrite as perfect squares

Square root both sides

so

substitute

therefore

the answer is the option B

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step-by-step explanation:

hi there!

first we need to find out how much they are adding to each number to make the next number.

ex: 4 + 4 = 8, 8 + 8 = 16, and so on.

so continuing with 32,

32 + 32 = 64

64 + 64 = 128

128 + 128 = 256

256 + 256 = 512

4, 8, 16, 32, 64, 128, 256, 512

the 8th term of the sequence will be 512

hope this ! ~