Question

find the zeroes of the following quad polynomial and Verify

(a) 3x^2 + 11x - 4
(b) x^2 - 3
(c) x^2 + 7x + 10​

Answer 1

a) p(x)=3x²+11x-4

• 0=3x²+11x-4
• 0=3x²+11x-40= 3x² +12x -x -4
• 0=3x(x+4) -1(x+4)
• 0= (3x-1)(x+4)

either

• 3x-1=0
• 3x=1
• x=1/3

or

• x+4=0
• x=-4

hence the value of x is 1/3 and -4

c).p(x)=x² + 7x + 10

• x² + 7x + 10
• 0=x² + 7x + 10
• 0=x² + 2x +5x + 10
• 0= x(x+2) +5(x+2)
• 0=(x+2)(x+5)

either

• x+2=0
• x=-2

or

• x+5=0
• x=-5

hence the value of x is -5 and -2.

b)x²-3

• p(x)=x² -3
• 0=x²-3
• x=sqrt (-3)

Answer 2

refer to the attachment