Question

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factorise: p² - 13p - 30​

Answer 1

`\displaystyle [p + 2][p - 15]`

Step-by-step explanation:

Find two quantities that when differed to 13, they also multiply to 30. Those will be 2 and 15. The TINIER quantity gets the plus sign because the B-value is −13, therefore 15 gets the minus sign, leaving 2 with the plus sign.

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Answer 2

`{p}^(2) - 13p - 30 \\ \\ {p}^(2) - 15p - 2p - 30 \\ \\ p(p - 15) + 2(p - 15) \\ \\ (p + 2)(p - 15)`

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