Answer:
x³ - 8x² - 11x + 148
Step-by-step explanation:
Given that x = 6 + i is a root then x = 6 - i is also a root
Complex roots occur as conjugate pairs.
The factors are therefore (x - (6 + i)) and(x - (6 - i))
Given x = - 4 is a root then (x + 4) is a factor
The polynomial is the product of the factors, that is
p(x) = (x + 4)(x - (6 + i))(x - (6 - i))
= (x + 4)(x - 6 - i)(x - 6 + i)
= (x + 4)((x - 6)² - i²)
= (x + 4)(x² - 12x + 36 + 1)
= (x + 4)(x² - 12x + 37) ← distribute
= x³ + 4x² - 12x² - 48x + 37x + 148
= x³ - 8x² - 11x + 148
+16 will give the volume
2x2=4
4x4=16
Answer:
<h2>(n-2)(2n² - a)</h2>
Step-by-step explanation:
Given the expression 2n²(n-2) - a(n-2), to write this expression in a complete factor form, simply follow the instruction;
Let's assume the original expression has been broken down into that form in question, if we look at both terms, we will see that n-2 in parenthesis is common to both terms, we can therefore factor out n-2 from both terms as shown;
= 2n²(n-2) - a(n-2)
= n-2(2n² - a)
Hence the complete factor form of the expression is (n-2)(2n² - a) because the expression cannot be simplified any further.
They are left with 0.51 pounds of clay.
Step-by-step explanation:
Given,
Amount of clay bought = 3.8 pounds
Amount used by Martha = 
Amount used by Martha = 
Amount left after Martha's use= Total amount - amount used by Martha
Amount left = 3.8 - 0.95 = 2.85 pounds
Amount used by Scott = 
Amount used by Scott = 
Amount used by Scott = 1.14 pounds
Amount left after Scott's use = Amount left after Martha's - Amount used by Scott
Amount left after Scott's use = 2.85 - 1.14 = 1.71 pounds
Amount used by Alison = 1.2 pounds
Amount left = Amount left after Scott's use - Amount used by Alison
Amount left = 1.71 - 1.2 = 0.51 pounds
They are left with 0.51 pounds of clay.
Keywords: subtraction, fraction
Learn more about subtraction at:
#LearnwithBrainly
