Question

If the product of the zeroes of the polynomial kx is 4, then the value of k is

Answer 1

Appropriate question :

If the product of the zeroes of the polynomial kx² - 6x - 6 is 4, then find the value of k.

Solution :

We know that :

• Product of zeroes (αβ) = c/a

When we compare kx² - 6x - 6 to ax² + bx + c, we get :

• a = k
• b = -6
• c = -6

Now, substituting :

• c/a = 4
• -6/k = 4
• -6 = 4k
• k = -6/4
• k = -3/2

Therefore, k = -3/2 when 4 is the product of the zeroes of the polynomial kx² - 6x - 6.

Know more :

• Sum of the zeroes (α+β) = -b/a
• Product of the zeroes (αβγ) = -d/a
• Sum of the zeroes (α+β+γ) = -b/a
• Sum of the zeroes (αβ + βγ + γα) = c/a