Answer: 26
Step-by-step explanation: From the remainder theorem ,
If P (x) = 2x⁴ ⁻ x³ + 2x² ⁻ 6. is divided by ( x - 2 ).
It means that if P(x) is divided by (x - 2 ) and leaves a Remainder, it implies that x - 2 is not a factor of P(x) , but if it leaves no remainder, it means x-2 is a factor of P(x).
Therefore , to find the remainder, find the zero of x - 2, and substitutes for the value in P(x) to know the remainder
x - 2 = 0
x = 2
Now put this in P(x)
P(x) = 2(2)⁴ - (2)³ + 2(2)² - 6
= 2(16) -8 + 2(4) -6
= 32 -8 +8 -6
=26
Therefore the remainder when P(x) is divided by x -2
=26
Note: Since the division of P(x) by x - 2 leaves a remainder, it means that
x - 2 ≠ a factor of P(x)
A. The formula to find the volume of a cylinder (that's what the first shape is):
pi r^2 h So, when you plug in the numbers and calculate, you get: 24.5pi
The formula to find the volume of a rectangular prism is: length x width x height.
6 x 9 = 54 54 x 2 = 108
V of the first pan = 24.5pi V of the second pan = 108 The second pan has a larger volume.
12 - (2 x 3)
PEMDAS
Parentheses, Exponents, Multiplication/Division, Addition/Subtraction
(2 x 3) = 6
12 - 6 = 6
Your answer is 6.
Hi, I'd be glad to help you with this equation.
Your answer is (5/ x + 3)
Hope this helps.
Have a great day!
Answer:
a^2-3ab+2b^2
Step-by-step explanation:
(a-2b)(a-b)
a^2-2ab-ab+2b^2
a^2-3ab+2b^2