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प्रश्न
Determine whether (x – 3) is a factor of polynomial x3 – 19x + 30.
Let P(x) = x3 – 19x + 30
By remainder theorem, `square` will be a factor of P(x), if P(3) = 0
Now, P(3) = `square` – 19 `square` + 30
= `square – square` + 30
= `square – square`
= 0
∵ P(3) = 0
Hence, `square` is a factor of polynomial x3 – 19x + 30.
उत्तर
Let P(x) = x3 – 19x + 30
By remainder theorem, x – 3 will be a factor of P(x), if P(3) = 0
Now, P(3) = (3)3 – 19 (3) + 30
= 27 – 57 + 30
= 57 – 57
= 0
∵ P(3) = 0
Hence, x – 3 is a factor of polynomial x3 – 19x + 30.
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