Answer:
(x-1)(x+7)
Step-by-step explanation:
x = 1
x = -7
These are the roots found using the quadratic formula.
Factoring x2-14x+11
The first term is, x2 its coefficient is 1 .
The middle term is, -14x its coefficient is -14 .
The last term, "the constant", is +11
Step-1 : Multiply the coefficient of the first term by the constant 1 • 11 = 11
Step-2 : Find two factors of 11 whose sum equals the coefficient of the middle term, which is -14 .
-11 + -1 = -12 -1 + -11 = -12 1 + 11 = 12 11 + 1 = 12
Observation : No two such factors can be found
By using subtraction of <em>yellow</em> areas from the <em>entire</em> squares, the areas of the <em>inscribed</em> shapes are listed below:
- 18 units
- 20 units
- 12 units
- 12 units
<h3>How to calculate the areas of the inscribed shapes</h3>
The areas of the <em>inscribed</em> shapes can be easily found by subtracting the <em>yellow</em> areas from the square, in order to find the value of <em>green</em> areas. Now we proceed to find the result for each case by using <em>area</em> formulae for triangles:
Case A
A = 6² - 0.5 · (3) · (6) - 0.5 · (3) · (6)
A = 36 - 18
A = 18 units
Case B
A = 6² - 4 · 0.5 · (2) · (4)
A = 36 - 16
A = 20 units
Case C
A = 6² - 0.5 · 6² - 0.5 · 6 · 2
A = 36 - 18 - 6
A = 12 units
Case D
A = 6² - 2 · 0.5 · 6 · 4
A = 36 - 24
A = 12 units
To learn more on inscribed areas: brainly.com/question/22964077
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