Hasil bagi bentuk (4x^(2)+16 x+15) oleh (2x+5) adalah dots

2x + 3

The question is asking to divide the quadratic expression `(4x^2+16x+15)` by a linear expression `(2x+5)`. It can be solved by using the method of polynomial division. Polynomial division is very similar to numerical long division where we divide, multiply, subtract and bring down, until there's nothing left to bring down.This technique works particularly well if the polynomial you’re dividing by is a binomial involving `x` (like `x - 2` or `5x + 7`).Using the technique of polynomial division for this particular problem, divide `(4x^2 + 16x + 15)` by `(2x + 5)` step by step you get:- Divide the first term in the numerator by the first term in the denominator: `(4x^2)/(2x) = 2x`.- Multiply `(2x)` with `(2x + 5)` to get `(4x^2 + 10x)`.- Subtract `(4x^2 + 10x)` from `(4x^2 + 16x)` to get `6x`.- Bring down the "+15" to get `(6x + 15)`.- Repeat the first step with `(6x + 15)` and `(2x + 5)` to get = `2x + 3`.Hence `(4x^2 + 16x + 15) divided by (2x + 5) = 2x + 3`.