Question

use factor method, divide the polynomial (y^2 - y - 42) by (y - 7)​

Answer 1

Answer:

$( {y}^{2} - y - 42) \div (y - 7) \\ \frac{ {y}^{2} - y - 42 }{y - 7} \\ = \frac{ {y}^{2} - 7y + 6y - 42 }{y - 7} \\ = \frac{y(y - 7) + 6(y - 7)}{y - 7} \\ = \frac{( \cancel{ y - 7})(y + 6)}{ \cancel{ y - 7}} \\ \boxed{ = \: \: \underline{ \underline{ \large y + 6}}}$