Formation of Quadratic Equation from Roots

Q.

Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients: $3x^2-x-4$.

Q.

Find the zeros of the polynomial in each of the following cases:

1.P(x) = ax, x≠0
2.P(x) = cx +d, c ≠0 , c and d are real numbers

Q. Abdul traveled $300$ km by train and $200$ km by taxi taking $5$ hours $30$ minutes. But, if he travels $260$ km by train and $240$ km by taxi, he takes $6$ minutes longer. Find the speed of the train and that of the taxi.

Q. Which point is a solution to this linear quadratic system? $y=x^2+4x+3$ and $y=2x+6$

1. $(1,-8)$
2. $(-3,0)$
3. $(0,-3)$
4. $(3,0)$