Question

*Factorize* :
(by splitting the middle term)
(1) x² - 11x + 30
(2) x² - 9x + 14
(3) y² - 3y - 4
(4) y² - 5y - 14
(5) m² + 5m - 14
(6) x² + 2x - 3​

Answer 1

Answer:

$1) {x}^{2} - 11x + 30 \\ = {x}^{2} - (5 + 6)x + 30 \\ = {x}^{2} - 5x - 6x + 30 \\ = x(x - 5) - 6(x - 5) \\ = (x - 5)(x - 6) \\ \\ 2) {x}^{2} - 9x + 14 \\ = {x}^{2} - (7 + 2)x + 14 \\ = {x}^{2} - 7x - 2x + 14 \\ = x(x - 7) - 2(x - 7) \\ = (x - 7)(x - 2) \\ \\ 3) {y}^{2} - 3y - 4 \\ = {y}^{2} - (4 - 1)y - 4 \\ = {y}^{2} - 4y + y - 4 \\ = y(y - 4) + 1(y - 4) \\ = (y - 4)(y + 1)$

you can solve the other questions is the same manner....

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