If and x = ‒3 are the roots of the quadratic equation ax2 + 7x + b = 0 then find the values of a and b.

We have, ax2 + 7x + b = 0Now, Sum of zeros∴a = 3 (i)Product of zeroes (From i)∴b= -6

Q19 of 113 Page 50

If and x = ‒3 are the roots of the quadratic equation ax² + 7x + b = 0 then find the values of a and b.

We have, ax² + 7x + b = 0

Now, Sum of zeros

∴a = 3 (i)

Product of zeroes (From i)

∴b= -6

Find the quadratic polynomial, the sum of whose zeros is and their product is 1. Hence, find the zeros of the polynomial.

Find the quadratic polynomial, the sum of whose roots is √2 and their product is 1/3.

If (x + a) is a factor of the polynomial 2x² + 2ax + 5x + 10, find the value of a.

One zero of the polynomial 3x³ + 16x² + 15x – 18 is 2/3. Find the other zeros of the polynomial.