Answer:
x = 11
Step-by-step explanation:
right triangle ABC
using Pythagoras' identity
BC² = 7² + 24² = 49 + 576 = 625 ( take square root of both sides )
BC = = 25
Since the triangles are congruent then corresponding sides are congruent.
ST = BC , that is
3x - 8 = 25 ( add 8 to both sides )
3x = 33 ( divide both sides by 3 )
x = 11
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.