Question

If one zero of the quadratic polynomial x2 + 5k + 6 is 2, then the value of k is ​

Answer 1

Given Quadratic Polynomial = x² -7x +5k

One zero of given polynomial = -2

It means that if we consider polynomial x² -7x +5k and put the value of x = -2 in the given polynomial so we'll get the value of k .

x = -2

:\implies:⟹ P(x) = x² -7x +5k

Substitute the value we get

:\implies:⟹ P(-2) = (-2)² -7(-2) + 5k

:\implies:⟹ (-2)² -7(-2) +5k = 0

:\implies:⟹ 4 +14 +5k = 0

:\implies:⟹ 18 + 5k = 0

:\implies:⟹ 5k = -18

:\implies:⟹ k = -18/5

Hence, the value of k = -18/5.

Step-by-step explanation:

i hope it's helpful to you

Answer 2

Answer:

-2

Step-by-step explanation:

Since one zero is 2

thus x=2

putting x in the given equation

we get

2²+5k+6=0

4+5k+6=0

5k+10=0

5k=-10

k=-(10/5)

k=-2