Question

Consider the quadratic function f(x) = x2 – 5x + 6.

What are the values of the coefficients and constant in the function?

Answer 1

The quadratic function has a general form of,

`f(x)=ax^2+bx+c`

Where
`a,b,c` are coefficients.

In your case the quadratic function is given in its general form,

`f(x)=x^2-5x+6`

The corresponding coefficients are thus
`a=1,b=-5,c=6`.

The only constant term is c which is also a coefficient.

Hope this helps.

Answer 2

Coefficient is-5

Constant is 6

Explanation:

According to the quadratic formula

ax^2+bx+c

So b is the coefficient and c is the constant

So let's go back to the question

X2-5x+6

So the coefficient is -5

And the constant is 6

But since we can actually solve the question further so let's solve

X2-5x+6

Let's factorise

X2-3x-2x+6

X(x-3)-2(x-3)

(X-2)(x-3)

X-2=0

X=2

X-3=0

X=3

Therefore x is 2 or x is 3