For what values of k, can the quadratic polynomial, kx2 – 8x + k ca

1.	For what values of k, can the quadratic polynomial, kx2 – 8x + k can be factored into real linear factors?1. 0 ≤ k ≤ 42. – 4 ≤ k ≤ 43. k = 44. k = – 4
Answer» Correct Answer - Option 2 : – 4 ≤ k ≤ 4 Given: kx2 – 8x + k Concept Used: ax² – bx + c = 0 has real liner factors when, b² – 4ac = 0 Calculation: Comparing the given equation with ax2 + bx + c = 0, We get a = k, b = 8, and c = k ⇒ (8)² – 4(k)(k) = 0 ⇒ 64 – 4k² = 0 ⇒ 4k2 = 64 ⇒ k2 = 16 ⇒ k = √16 ⇒ k = +/– 4 ∴ The value of k is – 4 ≤ k ≤ + 4.

For what values of k, can the quadratic polynomial, kx2 – 8x + k can be factored into real linear factors?1. 0 ≤ k ≤ 42. – 4 ≤ k ≤ 43. k = 44. k = – 4

Answer» Correct Answer - Option 2 : – 4 ≤ k ≤ 4

Given:

kx2 – 8x + k

Concept Used:

ax² – bx + c = 0 has real liner factors when,

b² – 4ac = 0

Calculation:

Comparing the given equation with ax2 + bx + c = 0,

We get a = k, b = 8, and c = k

⇒ (8)² – 4(k)(k) = 0

⇒ 64 – 4k² = 0

⇒ 4k2 = 64

⇒ k2 = 16

⇒ k = √16

⇒ k = +/– 4

∴ The value of k is – 4 ≤ k ≤ + 4.

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For what values of k, can the quadratic polynomial, kx2 – 8x + k can be factored into real linear factors?1. 0 ≤ k ≤ 42. – 4 ≤ k ≤ 43. k = 44. k = – 4

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