Question

Find the coefficient of X and X^2 term in (x-3)(x+5)

Answer 1

The coefficient of
`\sf x` term :
`\sf 2`

The coefficient of
`\sf x^2` term :
`\sf 1`

Explanation:

To find the coefficients of
`\sf x` and
`\sf x^2` in the product
`\sf (x - 3)(x + 5)`, let's first perform the multiplication:

`\sf (x - 3)(x + 5) = x(x + 5) - 3(x + 5)`

Now, distribute the terms:

`\sf = x^2 + 5x - 3x - 15`

Combine like terms:

`\sf = x^2 + 2x - 15`

Now, we can identify the coefficients:

• The coefficient of
  `\sf x` term is
  `\sf 2`.
• The coefficient of
  `\sf x^2` term is
  `\sf 1`.

Therefore, in the expression
`\sf (x - 3)(x + 5)`, the coefficient of the
`\sf x` term is
`\sf 2` and the coefficient of the
`\sf x^2` term is
`\sf 1`.

Answer 2

Coefficient of x^2 is 1 and x is 2

Given equation:

(x-3)(x+5)

Distribute:

(x)(x) + 5(x) -3(x) -3(5)

evaluate:

x² + 5x -3x -15

simplify:

x² + 2x -15

1x² + 2x - 15

Here the coefficient of x^2 is 1 and x is 2 and constant -15.