Question

If one of the zeroes of the quadratic polynomial 2x^2+3x+k+5is -2, then the value of k ​

Answer 1

Answer:

k = -7

Step-by-step explanation:

Given:

• One of the zeroes of the Quadratic Polynomial is -2
• f (x) = 2x² + 3x + k + 5

To find:

Value of k = ?

Solution:

f (x) = 2x² + 3x + k + 5

Since one zero is -2, substitute -2 in the place of x. This algebraic expression would be equal to zero because it is a factor.

f (-2) = 2 (-2)² + 3 (-2) + k + 5 = 0

⇒ (2 × 4) + (-6) + k + 5 = 0

⇒ 8 - 6 + k + 5 = 0

⇒ k + 7 = 0

⇒ k = -7

∴ The value of k = -7