Question

(x-3)is a factor of the polynomial (2xpower 2+x+k),find k​

Answer 1

Answer:

2x^2+x+k

if x-3

is a factor of this polynomial.then

x=3 in polynomial is 0

18+3+k=0

k=-21

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Answer 2

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Answer:

k = -21

Step-by-step explanation:

∵ ($x$ - 3) is a factor

∴ $x$ - 3 = 0

∴ $x$ = 3

p($x$) = 2$x^{2}$ + $x$ + k

p(3) = 2$(3)^{2}$ + 3 + k = 0

∴ 2(9) + 3 + k = 0

∴ 18 + 3 + k = 0

∴ 21 + k = 0

∴ k = -21