Question

if 3 is a factor of x2-kx+12, find
(a).the value of k
(b).the other root of the equation.

Answer 1

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To Solve:

• if 3 is a factor of x² -kx +12, find
• (a) the value of k
• (b) the other root of the equation.

Solⁿ:

• Root: 3

• For k, put 3 as x

p(x) = 3

= (3)² - k(3) + 12 = 0

9 - 3k + 12 = 0

21 -3k = 0

21 = 3k

7 = k

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• For other root, put value of k in the eqⁿ and solve

= x² -7x +12 = 0

x² -3x -4x +12 = 0

x(x -3) -4(x -3) = 0

(x-3)(x-4) = 0

Zeroes are: x = 3, x = 4

k : 7

k : 7Other root: 4

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Answer 2

hope this answer is helpful!!!!!!!!!