Answer:
<u>f(x) = = (x + √2 i) (x - √2 i) (x - 2 ) (x + 1)</u>
Step-by-step explanation:
The given function is f(x) = x⁴ - x³ -2x -4
factor the polynomial function
f(x) = x⁴ - x³ -2x -4 = (x⁴ - 4) - (x³ + 2x ) ⇒ take (-) as a common from (- x³ -2x)
= (x² + 2 ) (x² - 2) - x (x² + 2) ⇒ take (x² + 2) as a common
= (x² + 2 ) ( x² - x - 2)
= (x + √2 i) (x - √2 i) (x -2 ) ( x+1)
Notes: (x⁴ - 4) = (x² + 2 ) (x² - 2)
(x² + 2)= (x + √2 i) (x - √2 i)
( x² - x - 2) = (x -2 ) ( x+1)
Answer:
33
Step-by-step explanation:
3∙[ 9 – 2∙ (7 – 8)]
PEMDAS,
Parentheses, start from the inside out
3∙[ 9 – 2∙ (-1)]
3∙[ 9 +2]
3* 11
33
Answer:
Do the Division first.
Step-by-step explanation:
If you remember PEMDAS, or BOMDAS if you prefer, division and multiplication comes before addition and subtraction.
x, in this case, would equal -27. (-27 ÷ 3 = -9) then add 10
(-9 + 10 = 1)
Step-by-step explanation:
x² − 4x = 0
To complete the square, take half of the second coefficient, square it, then add the result to both sides.
(-4/2)² = 4
x² − 4x + 4 = 4
(x − 2)² = 4
x − 2 = ±2
x = 2 ± 2
x = 0 or 4
