Question

divide using factorisation : x^2 -14x-51 ÷ x+3 ​

Answer 1

Answer:

${x}^{2} - 14x - 51 \div x + 3 \\ \frac{ {x}^{2} - 14x - 51 }{x + 3} \\ = \frac{{x}^{2} + 3x - 17x - 51}{x + 3} \\ = \frac{ x(x + 3) - 17(x + 3)}{x + 3} \\ = \frac{(x + 3)(x - 17)}{x + 3} \\ = x - 17$