Evaluate the expression w^2 - v + 1 for w = -2 and v = -8. -3 -11 13 5
1 answer:
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Remember that polynomials are closed under addition, subtraction, and multiplication, but they are not closed under division. The only division you have there is B; therefore the correct answer is B.
A.
. The result is still a polynomial; therefore, answer A is incorrect.
B.
with a remainder of 26. The result is not a polynomial anymore; therefore, B is the correct answer.
C.
. The result is still a polynomial; therefore, answer C is incorrect.
D.. The result is still a polynomial; therefore, answer D is incorrect.
A.
B.
C.
D.
Answer:
a = 2, b = - 5
Step-by-step explanation:
Given
y = ax² + bx
is the measure of the slope at x = a
Differentiate each term with respect to x using the power rule
(a
) = na
= 2ax + b, hence
2ax + b = 3 at (2, - 2)
Substitute x = 2 into
4a + b = 3 → (1) and substitute x = 2 into y
4a + 2b = - 2 → (2)
Subtract ( 1) from (2)
b = - 2 - 3 = - 5
Substitute b = - 5 into (1)
4a - 5 = 3 ( add 5 to both sides )
4a = 8 ( divide both sides by 4 )
a = 2