Question

Find a quadratic polynomial such that product of its zeroes is o and one zero is (-4)​

Answer 1

We know that a quadratic polynomial= $x^{2} - (sum of zeros)x + (product of zeros)$. So, we will use the same formula here.

Here, we have

Product of the zeros= 0

Sum of the zeros= (-4)

Quadratic polynomial= $x^{2} - (sum of zeros)x+ (product of zeros)$

⇒Quad. polynomial= $x^{2} - (-4)x+0$

                                      or $x^{2} +4x+0$

                                      or $x^{2} +4x$

Hence, the required answer is $x^{2} +4x$

Note- You can use any variable instead of x. You hadn't specified any variable, so I used x here.