If α and β are the zeros of the polynomial 2x2 + 7x + 5, write the value of α + β + αβ.

Q16 of 113 Page 61

If α and β are the zeros of the polynomial 2x² + 7x + 5, write the value of α + β + αβ.

It is given in the question that, zeros of the polynomial 2x² + 7x + 5 are

Now by using the relationship between the zeros of the quadratic polynomial we have:

Sum of zeros = and product of zeros =

= and

∴

If (a ‒ b), a and (a + b) are zeros of the polynomial 2x³ ‒ 6x² + 5x – 7, write the value of a.

If x³ + x² ‒ ax + b is divisible by (x² ‒ x), write the values of a and b.

State division algorithm for polynomials.

The sum of the zeros and the product of zeros of a quadratic polynomial are -1/2 and ‒3 respectively. Write the polynomial.