If `P(x)=x^(2)-3x+2` find p(0) , p(1) , p(2) . What do you conclude?

If p(x)=4x^(2)-3x+6 find : (i) p(4) (ii) p(-5)

If p(x)=x^(3)+2x^(2)+x find : (i) p(0) (ii)p(2)

If p(x)=3x^2+9x+7 and p(a)=2 , then a=

If p(x) =x^(2)-4x+3, then evaluate p(2) -p(-1)+p((1)/(2)) .

If f(x)=x^2+x-42 and f(p-1)=0. what is a positive value of p ?

Let for a != a_1 != 0 , f(x)=ax^2+bx+c , g(x)=a_1x^2+b_1x+c_1 and p(x) = f(x) - g(x) . If p(x) = 0 only for x = -1 and p(-2) = 2 then the value of p(2) .

P(9,2) = P(x,2).Find x.

Let P(n) be the statement: 2^n >= 3n . If P(r) is true, show that P (r + 1) is true. Do you conclude that P(n) is true for all n in N

If x+3 is a factor of f(x)=px^(2)+p^(2)x+30 and pgt0 , what is the value of p?

If each pair of the three equations x^(2) - p_(1)x + q_(1) =0, x^(2) -p_(2)c + q_(2)=0, x^(2)-p_(3)x + q_(3)=0 have common root, prove that, p_(1)^(2)+ p_(2)^(2) + p_(3)^(2) + 4(q_(1)+q_(2)+q_(3)) =2(p_(2)p_(3) + p_(3)p_(1) + p_(1)p_(2))