Question

Match the quadratic polynomials with the coefficient of their 'x' terms.

• A. 3
• B. -3
• C. 1
• D. -1

Answer 1

The standard form of a quadratic polynomial is $a{x}^2+bx+c$ ,
where a is the coefficient of $x^2$,
b is the coefficient of x
and c is called the constant term.

We know that
$(x+a)(x+b)=x^2+(a+b)x+ab$

Using this identity we have,

$\Rightarrow (x+1)(x+2)=x^2+3x+2$,
thus coefficient of x is 3.

$\Rightarrow (x-1)(x-2)=x^2-3x+2$,
thus coefficient of x is -3.

$\Rightarrow (x-1)(x+2)=x^2+x-2$,
thus coefficient of x is 1.

$\Rightarrow (x+1)(x-2)=x^2-x-2$,
thus coefficient of x is -1.