Factorise the following using appropriate identity: i) x² - 2x - 15
ii) x²-1x-5
3.) x²-7x+12
iv) x² -1x - 56
v) x² + 8x + 12
vi) x² + 1x - 5
vii) x² + 9x + 20
viii) x² - 2x - 63
please help
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Answer:
i) x² - 2x - 15
Answer = (x+3) , (x-5)
Step-by-step explanation:
Use the sum-product pattern
2−2−15
x^{2}{\color{#c92786}{-2x}}-15x2−2x−15
2+3−5−15
Common factor from the two pairs
2+3−5−15
x^{2}+3x-5x-15x2+3x−5x−15
(+3)−5(+3)
Rewrite in factored form
(+3)−5(+3)
x(x+3)-5(x+3)x(x+3)−5(x+3)
(−5)(+3)
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