Question

If one zero of the quadratic polynomial x2 + 3x + k is 2, then the value of k is
(A) 10 (B) –10 (C) 5 (D) –5

Answer 1

$\textbf{Concept used:}$

$\text{A real number \alpha is said to be a zero of the}$

$\text{polynomial p(x) if p( \alpha )=0}$

$\textbf{Given:}$

$\text{2 is one zero of the polynomial}\;x^2+3x+k$

$\textbf{To find : k}$

$\text{Since 2 is one zero of the polynomial x^2+3x+k , we have}$

$2^2+3(2)+k=0$

$4+6+k=0$

$10+k=0$

$\implies\boxed{\bf\,k=-10}$

$\therefore\textbf{The value of k is -10}$

$\textbf{Find more:}$

If a and b are the zeros of polynomial 6x²-(k+1)-7x such that one zero is 11/6 more than the other, find the value of k.

https://brainly.in/question/15420668

Answer 2

Answer:

-10

Step-by-step explanation: