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प्रश्न
The factors of x2 – 5x + 6 are (x – 2)(x – p) then the value of p is ______.
विकल्प
– 3
3
2
– 2
उत्तर
The factors of x2 – 5x + 6 are (x – 2)(x – p) then the value of p is 3.
Explanation:
The factored form is (x – 2)(x – p).
Expanding it: = x2 − (2 + p)x + 2p
By comparing the coefficients:
The coefficient of x gives: − (2 + p) = −5
2 + p = 5
p = 5 − 2
p = 3
The constant term gives: 2p = 6
p = `6/2`
p = 3
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