Advertisements
Advertisements
Question
For the polynomial mx2 − 2x + 3 if p(−1) = 7 then find m.
Solution
Let p(x) = mx2 − 2x + 3
∴ p(−1) = 7
⇒ m × (−1)2 − 2 × (−1) + 3 = 7
⇒ m + 2 + 3 = 7
⇒ m = 7 − 5 = 2
Thus the value of m is 2.
APPEARS IN
RELATED QUESTIONS
For x = 0 find the value of the polynomial x2 - 5x + 5.
Find the value of the polynomial 2x - 2x3 + 7 using given values for x.
x = -1
For the following polynomial, find p(1), p(0) and p(-2).
p(x) = x4 − 2x2 − x
If p(x) = 2 + 5x then p(2) + p(−2) − p(1).
If `p(x) = 2x^2 - 5sqrt 3 x + 5` then `p(5 sqrt 3)`.
If x - 1 is a factor of the polynomial `3x^2 + mx ` then find the value of m.
For which the value of m, x + 3 is the factor of the polynomial x3 − 2mx + 21?
At the end of the year 2016, the population of villages Kovad, Varud, Chikhali is 5x2 - 3y2, 7y2 + 2xy and 9x2 + 4xy respectively. At the beginning of the year 2017, x2 + xy - y2, 5xy and 3x2 + xy persons from each of the three villages respectively went to another village for education then what is the remaining total population of these three villages?
Find the value of the polynomial f(y) = 6y – 3y2 + 3 at y = 1
Find the value of the polynomial f(y) = 6y – 3y2 + 3 at y = 0
