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The trinomial x2 + bx – c has factors of (x + m)(x – n), where m, n, and b are positive. What is the relationship between the values of m and n? Explain.

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27-01-2017
Mathematics

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PLEASE HELP :) Thanksssss

The trinomial x2 + bx – c has factors of (x + m)(x – n), where m, n, and b are positive. What is the relationship between the values of m and n? Explain.

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13Alan 13Alan · Answer 1 · 2017-05-21T14:42:05-04:00

The value of m must be greater than the value of n. When you multiply the binomials, the middle term is the result of combining the outside and inside products. So, bx = –nx + mx, or bx = (–n + m)x. This means that b = –n + m. When adding numbers with opposite signs, you subtract their absolute values, and keep the sign of the number having the larger absolute value. Since b is positive, m must have the larger absolute value.

dalorenzo05 dalorenzo05 · Answer 2 · 2021-04-26T17:00:22-04:00

dalorenzo05 dalorenzo05

26-04-2021

Answer: (D) m and n are both negative.

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PLEASE HELP :) ThanksssssThe trinomial x2 + bx – c has factors of (x + m)(x – n), where m, n, and b are positive. What is the relationship between the values of m and n? Explain.

Verified Answer :

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PLEASE HELP :) Thanksssss

The trinomial x2 + bx – c has factors of (x + m)(x – n), where m, n, and b are positive. What is the relationship between the values of m and n? Explain.