Question 3 :
State true or false: $(x - y)^3 = x^3 - y^3 - 3xy (x - y)$.
Question 6 :
State true or false: $(x + a) (x + b) = x^2 + (a + b)x + ab$
Question 7 :
The zero of the polynomial p(x) = cx + d, $c \ne 0$ c,d are real numbers is-
Question 8 :
the remainder when $x^3 – ax^2 + 6x – a$ is divided by x – a.
Question 9 :
What is the value of p(2) for the polynomial $p(x) = (x – 1) (x + 1)$ ?
Question 14 :
Possible expressions for the length and breadth of rectangle having Area :$ 25a^2 – 35a + 12$ are-
Question 16 :
Possible expressions for the dimension of cuboid having volume :$12ky^2+ 8ky – 20k$ are-
Question 25 :
If x – 1 is a factor of $p(x) = kx^2– 3x + k$ , k is-
Question 29 :
State true or false: $(x+y)^2 = x^2 + 2xy + y^2$.
Question 34 :
State true or false: $(x + y)^3 = x^3 + y^3 + 3xy (x + y)$.
Question 36 :
The remainder when $x^3 + 3x^2 + 3x + 1$ is divided by $x+\pi$ is-
Question 38 :
The zero of the polynomial p(x) = 2x + 5 is-
Question 39 :
Does $x^4 + 3x^3 + 3x^2 + x + 1$ has x+1 as a factor -
Question 41 :
What is the value of p(1) for the polynomial $p(t)=2+t+2t^2-t^3$ ?
Question 42 :
The remainder when $x^3 + 3x^2 + 3x + 1$ is divided by x + 1 is-
Question 48 :
Possible expressions for the dimension of cuboid having volume :$ 3x^2 – 12x$ are-
Question 50 :
If x – 1 is a factor of $p(x) = kx^2-\sqrt{2}x+1$ , k is-