Practice examination 1- Polynomials (25 marks)
1mark questions
1. Which of the next is a polynomial?
a) x2 + (1/2x) – 5
b) x2 + Öx– 3
c) (1/Öx) + 7
d) x2 + (1/2)x – 5
2. The value of polynomial 2x3 – 3x2 + 5x – iii at x=0 is
a) 3
b) 0
c) -3
d) 1
3. The bird of (4x-3)(4x+3) is
a) 4
b) 16
c) 2
d) 1
2 marks questions
1. Factorise the polynomial 64x3 – (2x-t)3
2. If (x-1) is a element of a2x3 – 4ax + 4a – 1, notice the value of a.
3 marks questions
1. Factorise 12(x2+7x)2 – 8(x2+7x)(2x-1) – 15(2x-1)2
2. Show that ii in addition to -1/3 are the zeroes of the polynomial 3x3 -2x2 – 7x -2. Also, notice its tertiary zero.
4 marks questions
1. If x3 + mx2 – x + half dozen has (9x-2) equally a element in addition to leaves a residuum n when divided past times (x-3), notice the values of m in addition to n.
2. Prove that (x+y)3 + (y+z)3 +(z+x)3 – 3(x+y)(y+z)(z+x) = 2(x3+y3+z3-3xyz)
3. When the polynomials x3 + 2x2 – 5ax – seven in addition to x3 + ax2 – 12x + half dozen are divided past times (x+1) in addition to (x-2) respectively, leaves residuum Influenza A virus subtype H5N1 in addition to B in addition to 2A + B = 6, notice the value of a.
