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प्रश्न
If x – 2 is a factor of 2x3 - x2 - px - 2.
Find the value of p
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उत्तर
Given expression is 2x3 - x2 - px - 2 and x - 2 is the factor.
x - 2 = 0, x = 2 in expression
2(2)3 - (2)2 - p(2) - 2 = 0
16 - 4 - 2p - 2 = 0
10 - 2p = 0
p = 5
संबंधित प्रश्न
Find the values of constants a and b when x – 2 and x + 3 both are the factors of expression x3 + ax2 + bx – 12.
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If x – 2 is a factor of 2x3 - x2 - px - 2.
with the value of p, factorize the above expression completely.
Show that (x – 1) is a factor of x3 – 5x2 – x + 5 Hence factorise x3 – 5x2 – x + 5.
What number should be subtracted from 2x3 – 5x2 + 5x so that the resulting polynomial has 2x – 3 as a factor?
Find the value of the constants a and b, if (x – 2) and (x + 3) are both factors of the expression x3 + ax2 + bx – 12.
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