Question

1) If one of the zeroes of the polynomial ax square + 6x + 2 is -1, find the value of a.

2) Write the degree of quadratic & bi-quadratic equation.

3) Find the quadratic polynomial, the sum & product of whose zeroes are -3 and 2 resp.

4) Find the sum of zeroes of the polynomial 3x square -5x +1.

5) Find the value of p(-2) if p(x) = 3x cube -5.

6) Write the quadratic polynomial, the zeroes of which are root 2 and root -2.

7) What is the remainder if 3x cube + x square + 2x + 5 is divided by 1+ 2x + x square.

8) Represent the zero of the linear polynomial 2x -9 graphically.

9) Find the zeroes of the polynomial 4x square -9 graphically.

10) The graph of polynomial p(x) does not interect the x-axis but intersect y-axis at one point. Find the number of zeroes of p(x).

11) If 2 is one of the zero of polynomial x² + 5x + p. Find the other zero and value of p.​

Answer 1

it is the answer for 1 and2 question

Answer 2

Question:☑

Find the complete set of values of

a for which the quadratic x2−ax+a+2=0

has equal roots.

Quadratic Equation:☑

There are two solutions (zeros, roots, etc.) of a quadratic equation, and both solutions will be equal if the discriminant is zero means

b2−4ac=0

, here, the coefficients are

ab and cof the equation ax2+bx+c=0

. Similarly, the nature of roots is decided by evaluating the discriminant.