Question

For what value of k - 2 is a zero of the polynomial 3x^2+4x+2k

Answer 1

AnswEr :

k = -2

$\bf{\large{\underline{\underline{\bf{Given\::}}}}}$

-2 is a zero of the polynomial 3x² + 4x + 2k.

$\bf{\large{\underline{\underline{\bf{To\:find\::}}}}}$

The value of k.

$\bf{\large{\green{\underline{\underline{\sf{Explanation\::}}}}}}$

p(x) = 0 or

p(-2) = 0

A/q

$\dashrightarrow\tt{3x^{2} +4x+2k}\\\\\\\\\\\dashrightarrow\tt{3(-2)^{2} +4(-2)+2k=0}\\\\\\\\\\\dashrightarrow\tt{3\times4+(-8)+2k=0}\\\\\\\\\\\dashrightarrow\tt{12-8+2k=0}\\\\\\\\\\\dashrightarrow\tt{4+2k\:=\:0}\\\\\\\\\\\dashrightarrow\tt{2k\:=\:-4}\\\\\\\\\\\dashrightarrow\tt{k\:=\:\cancel{\dfrac{-4}{2} }}\\\\\\\\\\\dashrightarrow\tt{\red{k\:=\:-2}}$

∴ The value of k is -2 .

Answer 2

Answer:

Step-by-step explanation:

Hello there !

-2 is zero of the quadratic polynomial 3x² +4x +2k

Put the value "-2" in the equation.

3(-2)² + 4(-2) + 2k = 0

3 × 4 + 4 × -2 + 2k = 0

12 + [-8] + 2k = 0

4 + 2k = 0

2k = -4

k = -4/2

k = -2

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