Factor completely 625x8 − 1. (25x4 − 1)(25x4 1) (5x2 − 1)(5x2 1)(25x4 − 1) (5x2 − 1)(5x2 1)(5x2 1)(5x2 1) (5x2 − 1)(5x2 1)(25x4
1 answer:
The complete factor of the polynomial 625x⁸ − 1 is (25x⁴ + 1)(25x⁴ − 1). Then the correct option is A.
<h3>What is polynomial?</h3>Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.
Factor completely 625x⁸ − 1.
We know that
(25x⁴)² − 1²
(25x⁴ + 1)(25x⁴ − 1)
The complete factor of the polynomial 625x⁸ − 1 is (25x⁴ + 1)(25x⁴ − 1). Then the correct option is A.
More about the polynomial link is given below.
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Answer:
see the attachments for the two solutions
Step-by-step explanation:
When the given angle is opposite the shorter of the given sides, there will generally be two solutions. The exception is the case where the triangle is a right triangle (the ratio of the given sides is equal to the sine of the given angle). If the given angle is opposite the longer of the given sides, there is only one solution.
When a side and its opposite angle are given, as here, the law of sines can be used to solve the triangle(s). When the given angle is included between two given sides, the law of cosines can be used to solve the (one) triangle.
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Here, the law of sines can be used to solve the triangle:
A = arcsin(a/c·sin(C)) = arcsin(25/24·sin(70°)) = 78.19° or 101.81°
B = 180° -70° -A = 31.81° or 8.19°
b = 24·sin(B)/sin(70°) = 13.46 or 3.64
