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X^2+6x-27=(x+a)(x-b), where a and b are whole numbers. What are the values of a and b?

1 Answer

4 votes

Answer:

a = 9, b = 3

Explanation:

For the equation x^2+6x-27, break down the -27 into its factors. The factors are either -9 and 3 or 9 or -3. Try for both and add them up, the answer should be 6x in the equation x^2+6x-27. The factors 9 and -3 works, now you can factor it into (x+9)(x-3). The 9 should be your a and 3 should be your b. The reason why its 3 and not -3 is because the negative/subtraction sign is already included for the variable b.

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User Hemant Solanki
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