Answer:
d
Step-by-step explanation:
Answer:
P(2) = 4
Step-by-step explanation:
P(X) = -2X4 + 4X3 - X + 6
Use the remainder theorem to find quotient and remainder and the value of P(2)
First add in any missing exponents: P(x) = -2x4 + 4x3 + 0x2 -x + 6
Write all the coefficients in a line (including the constant) with the number being solved for off to the left:
Bring down the first coefficient (-2), multiply it by the term in question (2), carry the product up under
the 2nd coefficient and then add down (4-4=0), carry up the sum and repeat process across. The last
sum is the answer for P(2)
(2) -2 4 0 -1 6
-4 0 0 -2
__________________
-2 0 0 -1 4
P(2) = 4
check the answer: P(2) = -2(24) + 4(23) -2 + 6 = -2(16) +4(8) + 4 = 4 Our answer is correct
The quotient is what we would bet by dividing the original equation by the polynomial (x-2). The
answer is given by the bottom numbers which will begin an one lower exponent than the original.
Quotient is: -2x3 + 0x2 + 0x -1 = 2x3 - 1
The remainder is: 4/(x-2)
<span>Answered by the following sums -
Outer square area = 4x^2
side of the square = 2x which is equal to diameter of circle == diameter of inner square.
radius of circle = x
diameter of outer square = 2*sqrt(2)*x
consider side of inner square = a
so a^2 + a^2 = (2x)^2
2a^2 = 4x^2
a = x*sqrt(2)
So area of inner square will be = 2x^2</span>
(2x + 8) (x+2) is what I got
