The complete factor of the polynomial expression is (x² + 9)(x – 1)(x + 1), then the correct option is B.
<h3>What is a factorization?</h3>
It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The expression is given as
x⁴ + 8x² – 9
Then by the factorization, we have
x⁴ + 8x² – 9
x⁴ + 9x² – x² – 9
x²(x² + 9) – 1(x² + 9)
(x² + 9)(x² – 1)
(x² + 9)(x – 1)(x + 1)
More about the factorization link is given below.
brainly.com/question/6810544
Answer:
110.5
Step-by-step explanation:
208=13+(3-1)d
208=13+2d
-13. -13
195=2d
÷2. ÷2
97.5=d. (d means difference)
13(first term)+97.5=110.5
Multiply 4/7 by 5
Multiply 3/5 by 7
Lowest common denominator is 35
Answer:
131 in²
Step-by-step explanation:
Let x represent the length of the painting. Given that The width of a painting is 4 inches less than the length. Hence:
Width = x - 4
The area of painting = length * width = x(x - 4) = x² - 4x
The frame that surrounds the painting is 2 inches wide (at the top and bottom, left and right). Hence the total width of the frame = (x - 4) + 2 + 2 = x, the length of the frame = x + 2 + 2 = x + 4
The area of the frame = length * breath = x(x + 4) = x² + 4x
Given that the area of the frame = 240 in², hence:
x² + 4x = 240
x² + 4x - 240 = 0
x = -17.62 and x = 13.62
Since the length cannot be negative, hence length = x = 13.62 inches
Area of painting = x(x - 4) = 13.62(13.62 - 4) = 131 in²