Question

Factor the ff.

1.) 2x² + 17x + 35
2.) 2y² - 5y - 3
3.) 3x² - 8x + 4​

Answer 1

1.

`2x {}^(2) + 17x + 35 \\ = 2x {}^(2) + 10x + 7x + 35 \\ = 2x(x + 5) + 7(x + 5) \\ = (2x + 7)(x + 5)`

2.

`2y {}^(2) - 5y - 3 \\ = 2y {}^(2) -6y + y - 3 \\ = 2y(y - 3) + 1(y - 3) \\ = (2y + 1)(y - 3)`

3.

`3x {}^(2) - 8x + 4 \\ = 3x {}^(2) - 6x - 2x + 4 \\ = 3x(x - 2)( - 2)(x - 2) \\ = (3x - 2)(x - 2)`