Find the product: `x` x `x^2` x `x^3` x `x^4`

Find the products (5-2x)(3+x)

Find the zeros of f(x) = x^(3) - 5x^(2) - 2 x + 24 , if the product of its two zeros is 12 .

Find the remainder when f (x) =x ^(4) - 3x ^(2) + 4 is divided by g (x) =x -2 and verify the result by actual division .

Find the value of p(x) = x^(2)- 3x - 4 at x = 0.

Find |A| If A = [(x^2, 2x), (x^4 , 5x)]

Find a quadratic equation whose product of roots x_1 and x_2 is equal to 4 and satisfying the relation (x_1)/(x_1-1)+(x_2)/(x_2-1)=2.

Use suitable identities to find the following products: (i) (x+4)(x+10) (ii) (x+8) (x-10) (iii) (3x+4) (3x -5) (iv) (y^2+3/2)(y^2-3/2) (v) (3-2x)(3+2x)

Find the values of the following polynomials: p(x) = 2x^(4) - 3x^(3) – 3x^(2)+ 6x - 2 , when x = -2.

Find fog if f(x)= x-2 and g(x) = 3x