Question

Which of the following is a quadratic binomial ?
1 (x+2)(x-1)
2(x+1)(x-1)
3(x+1)(x-2)
4(x+2)(x+1)​

Answer 1

Answer:

(×+1)(×-2) this is the answer enjoy

Answer 2

$\sf\huge\bold{\underline{\underline{{Solution}}}}$

Firstly know what is quadratic equation?

Quadratic equations are those equations which are in the form of ax²+bx+c in which highest degree of the term of 2.

Quadratic binomial: quadratic binomial in which there are two terms with highest degree 2.

1.(x+2)(x-1)

=>x(x-1)+2(x-1)

=>x²-x+2x-2

=>x²+x-2

Hence,it is not a quadratic binomial as it having 3 terms.

2.(x+1)(x-1)

=>formula :(a+b)(a-b) = a²-b²

=>x²-1²

hence,it is a quadratic binomial as it have two terms with highest degree 2.

3.(x+1)(x-2)

=>x(x-2)+1(x-2)

=>x²-2x+x-2

=>x²-x-2

hence,it's not a quadratic binomial as it have more than 2 terms

4.(x+2)(x+1)

=>x(x+1)+2(x+1)

=>x²+x+2x+2

=>x²+3x+2

it's also not a quadratic binomial as it having more than two terms.