Answer:
-28x-41
Step-by-step explanation:
6*5x-6*8
30x-48
2x+7-30x-48 = 2x-30x+7-48 = -28x+7-48 = -28x+(-41)= -28x-41
Step-by-step explanation:
1.Given .
2.Being vertically opposite angle.
3.Because sum of all interior angle of a triangle is always 180°.
4.From the statement of 3 number.
5.Because angle 4 = angle 3 and angle 6= angle 1 .
6.(suppose ,< is angle sign) solving this equation,
m<1 + m<2+ m<3 = m<3 + m<5 + m<1
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
