Question

for what value of k , 3 is a zero of the polynomial 2x square + 3x + k​

Answer 1

Answer:

-27

Step-by-step explanation:

let x = 3

18 + 9 + K = 0

K = -27

Answer 2

Your Answer:

Let 3 be a zero of polynomial 2x^2 + 3x + k

Then,

$\tt p(3) = 2(3)^2 + 3(3) + k \ \ \\\\ will \ \ be \ \ equal \ \ to zero$

So,

$\tt p(3) = 2(3)^2 +3(3) + k = 0 \\\\ \tt \Rightarrow 2(9) + 9 + k = 0 \\\\ \tt \Rightarrow 18 +9 +k = 0 \\\\ \tt \Rightarrow 27 + k = 0 \\\\ \tt \Rightarrow k = -27$

So, k = -27

Vital Information:

• The Question is a part of polynomial and Quadratic Equation also.
• Here, k is a constant.

Points to notice while solving this Question:-

• Never take 3 as zero, just assume that 3 can be zero, to find the value of any constant.
• Always proceed in steps.
• Equate the Polynomial with zero from the first step.