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.
Answers
Answered by
11
Given: trinomial x² + bx – c, factors of (x + m)(x – n), where m, n, and b are positive.
To find: relationship between the values of m and n.
Solution:
- As we have given the factors as m and n, so we can say that m must be greater than n as if we multiply the binomials, we get the middle term as the result of combining the outside and inside products.
- So,
bx = –nx + mx
bx = (–n + m)x
cancelling x, we get:
b = –n + m.
- The factor with the greater absolute value has the sign of the middle term.
- m should have the larger absolute value as b is positive in the given equation.
Answer:
'm' should have the larger absolute value.
Answered by
4
Answer:
factor the polynomial.
The expression is not factorable with rational numbers.
Step-by-step explanation: did this on edg
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