Question

If p(x) = x³-4x²+x+6, then show that p(3) = 0 and hence factorie p(x)
factorise bhi krna hai ​

Answer 1

Answer:

» x³ - 4x² + x + 6 = 0

Sum of even powers = sum of odd powers.

Therefore, (x + 1) is the factor.

» -1 | 1 -4 + 1 + 6

| -1 + 5 + -6

______________

| x² - 5x + 6 = 0

» x² - 5x + 6 = 0

» x² - 3x - 2x + 6 = 0

» x (x - 3) - 2 (x - 3) = 0

» (x - 2) (x - 3) = 0

Also (x + 1) is the factor,

Therefore, (x + 1) (x - 2) (x - 3) = 0

Hence, p (3) = 0.

Answer 2

Answer:

x³ -4x² +x+6

(3)³-4(3)²+(3)+6

27-36+3+6

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