Factorising Cubics

Find p(-2) for p(x) = 4x³+3x²-x+5

• 51
• -17
• -13
• -37

Divide x³ + x² - 14x - 24 by x+2

• x²-x-12
• x²+x+12
• x²-x-16
• 2x²-x-12

If x³-7x²+5x-4 = (x-3)(x²+bx+c)+r
Find b, c and r.

• b= -11, c= -7, r= -25
• b= -4, c= 17, r= -25
• b= -4, c= -7, r= -17
• b= -4, c= -7, r= -25

Find the remainder when x³+3x²+2x+1 is divided by x-2

• x²+5x+12
• -23
• 25
• -25

Fully factorise x³-2x²-5x+6

• (x-1)(x-3)(x+2)
• (x-1)(x+3)(x+2)
• (x+1)(x-3)(x-2)
• (x-1)(x-6)(x+1)

Which of the following is a factor of 2x³-13x²+27x-18?

• (x-5)
• (3x-2)
• (2x+3)
• (2x-3)

Find the value of a in x³+ax²+3x-5 given it has a remainder of -3 when divided by x-2

• a= -4
• a= -3
• a= 3
• a = 4

Factorise x³+64

• (x-2)(x²-2x+4)
• (x+64)(x-64)
• (x-4)²(x+4)
• (x+4)(x²-4x+16)

Factorise 27x³ - 1

• (9x-1)(81x²+9x+1)
• (3x-1)(9x²+3x+1)
• (3x-1)(3x²+3x+1)
• (3x-1)(9x²+x+1)

Find the solutions of 6x³-5x-2x+1

• (x-1)(3x-1)(2x+1)
• x = 1, 1/3, -1/2
• x = 1, -1/3, 1/2
• (x-1)(3x+1)(2x-1)