Question

If p and q are the zeros of the polynomial 2x2+7x+5 write the valueof p+q+pq

Answer 1

Step-by-step explanation:

Given -

• p and q are zeroes of polynomial p(x) = 2x² + 7x + 5

To Find -

• Value of p+q + pq

Now,

→ 2x² + 7x + 5

By middle term splitt :-

→ 2x² + 2x + 5x + 5

→ 2x(x + 1) + 5(x + 1)

→ (2x + 5)(x + 1)

Zeroes are -

→ 2x + 5 = 0 and x + 1 = 0

→ x = -5/2 and x = -1

Now,

The value of p+q + pq is

→ -5/2 - 1 + -5/2×-1

→ -5-2/2 + 5/2

→ -7/2 + 5/2

→ -7+5/2

→ -2/2

→ -1

Hence,

The value of p+q + pq is -1.

Answer 2

Answer:

Step-by-step explanation:

2x²+7x+5

2x²+2x+5x+5

2x(x+1)+5(x+1)

(2x+5)(x+1)

2x=-5

x=-5/2

or x=-1

-5/2+1=-3/2

pq= 5/2

p+q+pq= -3/2+5/2
2/2

=1