Question

If a and b are the zeroes if the quadratic polynomial 2y2+7y+5 write the value of a+b and ab

Answer 1

2y^2 + 7y + 5
(2y+5)(y+1)
y=-5/2 and -1
a+b=-7/2
ab=5/2

Answer 2

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Given:

We have been given that a and b are the zeroes of the polynomial 2y^2 + 7y + 5.

To Find:

We need to find the value of a + b + ab.

Solution:

We have been given a polynomial 2y^2 + 7y + 5.

Here, a = 2, b = 7 and c = 5.

As it is given that a and b are two zeroes,

So, sum of zeroes(a + b)

= -b/a

= -7/2___(1)

Product of zeroes(ab)

= c/a

= 5/2___(2)

Now we need to find the value of a + b + ab,

So we have,

a + b + ab = (a + b) + ab

Substituting the values from equation 1 and 2, we get,

(-7/2) + (5/2)

= (-7 + 5)/2

= -2/2

= -1

Therefore, the value of a + b + ab is -1.