Q3 of 84 Page 48

If p(m) = m3 + 2m2 – m + 10 then p(a) + p(-a) =?

Put x = a throughout the polynomial

(a)3 + 2 × (a)2 –a + 10


p (a) = a3 + 2a2 – a + 10


Put x = -a throughout the polynomial


(-a)3 + 2 × (-a)2 –(-a) + 10


p (-a) = -a3 + 2a2 + a + 10


p(a) + p(-a):


a3 + 2a2 – a + 10 + -a3 + 2a2 + a + 10


∴ p(a) + p(-a) = 4a2 + 20


More from this chapter

All 84 →
1

For x=0 find the value of the polynomial x2 – 5x + 5

 2

If p(y) = y2 - 3√2 + 1 then find p(3√2)

 4

If p(y) = 2y2 – 6y2 – 5y +7 then find p(2).

 1

Find the value of polynomial using given values for x.

i. x = 3 ii. x = -1


iii. x=0