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factor. 9z^2-18z-7 square square

Question

Factor. 9z^2-18z-7 square square

Solution

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Zuleide Elite · Tutor por 8 anos

Resposta

To factor the quadratic expression , we need to find two numbers that multiply to give the product of the coefficient of term (9) and the constant term (-7), which is -63, and add up to the coefficient of the term, which is -18.The two numbers that satisfy these conditions are -21 and 3, since:-21 * 3 = -63-21 + 3 = -18Now, we can rewrite the middle term (-18z) using these two numbers: Next, we group the terms: Factor out the greatest common factor from each group: Now, we can factor out the common binomial factor : Therefore, the factored form of is: