Question

1. Find the value of "p" from the polynomial x2

+ 3x + p, if one of the zeroes of the polynomial is 2. 2. Does the polynomial a4

+ 4a2

+ 5 = 0 have real zeroes?

3. Compute the zeroes of the polynomial 4x2

– 4x – 8. Also, establish a relationship between the zeroes and coefficients.

4. Find the quadratic polynomial if its zeroes are 0, √5.

5. Find the value of "x" in the equation 2a2

+ 2xa + 5x + 10 if (a + x) is one of its factors.

6. How many zeros does the polynomial (x – 3)2

– 4 can have? Also, find its zeroes.

7. α and β are zeroes of the quadratic polynomial x2

– 6x + y. Find the value of ‘y’ if 3α + 2β = 20.

8. If the zeroes of the polynomial x3 – 3x2 + x + 1 are a – b, a, a + b, then find the value of a and b.

9. Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.

(i) 1/4, -1

(ii) 1,1

(iii) 4, 1

Answer 1

Answer:

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

x2 +3x + p = 0

put 2 in place of x

4 +6 =-p

-p = 10

p = -10