Question

if the product of two zeros of quadratic polynomial f(x)= x^2-4x+k is 3 find the value of k​

Answer 1

$\huge \boxed{ \underline{ \underline{ \bf{Answer}}}}$

QUADRATIC EQUATION :- ax² + bx + c

• If p(x) is a quadratic polynomial, then p(x) = 0 is called a quadratic equation.

• The general formula of a quadratic equation is ax² + bx + c = 0 where a,b,c are real numbers such that a ≠ 0 and x is a real variable.

f(x) = x² - 4x + k

Product of two zeros of quadratic polynomial = 3.

αβ = 3

Alpha×beta = constant/coefficient of x^2

Therefore,

3 = k/1

3 = k

$\huge{\boxed{\sf{Hence,\:The\:value\:of \:k\:=\:3.}}}$

Answer 2

Answer:

k=3

Step-by-step explanation:

f(x)=x²-4x+k

f(3)=3²-4(3)+k

=9-12+k

=-3+k

-3=k

k=3