for what value of k ,is 3 a zero af the polynomial 2x^2+x+k
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Answer:
K=-21 is the answer for the given polynomial
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ANSWER:
- Value of k is (-21).
GIVEN:
- 3 is the zero of the polynomial P(x) = 2x²+x+k
TO FIND:
- Value of 'k'.
SOLUTION:
=> P(x) = 2x²+x+k
Here, 3 is the zero of the given polynomial P(x). so if we put x = 3 then we get the remainder = 0.
=> P(x) = 2x²+x+k
=> 2(3)²+3+k = 0
=> 18+3+k = 0
=> k = (-21)
Value of k is (-21).
NOTE:
Some important formulas:
(a+b)² = a²+b²+2ab
(a-b)² = a²+b²-2ab
(a+b)(a-b) = a²-b²
(a+b)³ = a³+b³+3ab(a+b)
(a-b)³ = a³-b³-3ab(a-b)
a³+b³ = (a+b)(a²+b²-ab)
a³-b³ = (a-b)(a²+b²+ab)
(a+b)² = (a-b)²+4ab
(a-b)² = (a+b)²-4ab
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