Question

if2is a zero of polynomial 4y^2-6y-k, find the value of k.also,find the other zero.​

Answer 1

4y² - 6y - k = 0

4(2)² - 6(2) - k = 0

16 - 12 - k = 0

4 - k = 0

k = 4

4y² - 6y - 4 = 0

4y² - (8 - 2)y - 4 = 0

4y² - 8y + 2y - 4 = 0

4y ( y - 2) + 2(y - 2) = 0

(4y + 2) (y - 2) = 0

4y + 2 = 0 or y - 2 = 0

4y = (-2) or y = 2

y = - 2/4 or y = 2

y = - 1/2 or y = 2

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