Question

If one zero of p(x)= ax2+bx+c is zero find the value of c

Answer 1

If one zero of p(x) = ax² + bx + c is zero then value of c = 0

Given :

One zero of p(x) = ax² + bx + c is zero

To find :

The value of c

Solution :

Step 1 of 2 :

Write down the given polynomial

Here the given polynomial is

p(x) = ax² + bx + c

Step 2 of 2 :

Find the value of c

Since one zero of p(x) = ax² + bx + c is zero

∴ p(0) = 0

⇒ a × 0² + b × 0 + c = 0 [ Putting x = 0 in p(x) ]

⇒ 0 + 0 + c = 0

⇒ c = 0

Hence the required value of c = 0

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Answer 2

For the given  equation $p(x)=a x 2+b x+c$  the value of C is zero.

Quadratic equation

Quadratic Equation Roots The roots of a quadratic equation are the values of variables that satisfy it. In other words, if f(x) = 0, x = is a root of the quadratic equation f(x).

Constant

Quadratic Functions are a type of function that has four sides. A quadratic function is defined as f(x) = ax2 +bx+c, where a, b, and c are all constants and $a \neq 0$. The word ax2 is referred to as the quadratic term (hence the function's name), the term bx is referred to as the linear term, and the variable c is referred to as the constant term.

Explanation

Given: The quadratic equation $p(x)=a x 2+b x+c$

one zero/root of quadratic equation is given so put the value of given root in the equation you will find C=0

$a(0)+b(0)+c=0\\c=0$

Hence the value of $C=0$.

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