 A polynomial p of x is given as 3x square minus 5 times m times x plus of 9. One of the zeros of p of x is negative 1. Find m. We need to find the value of this unknown m here. So now let's focus on what information is given in this question. We are given that the zeros of p of x, one of the zeros of p of x is negative 1. And what do we mean by zeros of a polynomial? So that particular value or maybe values of x which would make the polynomial, which would make the value of polynomial equal to 0 are called as zeros of this p of x. For example, let's say that we have a polynomial 4x plus of 2. What should I substitute here instead of x? So that this complete polynomial, the value of this polynomial should be equal to 0. So instead of x, if we will substitute negative half and plus 2 would come as it is. The 4 times negative half is negative 2 plus 2 is equal to 0. Hence negative half, this negative half would be the zero of this given polynomial. Similarly, we are given that negative 1 is the zero of this given polynomial. This means p of negative 1, wherever we can see x in this polynomial, if we will replace x with negative 1, the value of this polynomial would be equal to 0. Let's do that. So this would give us 3 times negative 1 whole square minus 5 times m times negative 1 plus of 9 equal to 0. Now we have a linear equation with an unknown m. We can solve this and find the value of m. Negative 1 whole square is 1, 3 times 1 is 3, minus 5 times m times negative 1. Negative 5 times negative 1 would give me positive 5. So this would become positive 5 times m plus of 9 equal to 0. 9 and 3 would together give me 12. So 12 plus 5m is equal to 0. On subtracting 12 from both the sides, our equation would reduce to 5m equals to negative 12. And finally, now on dividing both sides by 5, m would be equal to negative 12 upon 5. Hence the value of m is negative 12 by 5.