Math, asked by piyush92286, 7 months ago

The zeros of the polynomial 3x^2 + 11x - 4 are

Answers

Answered by weeskrsm
3

Answer:

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Answered by TheMoonlìghtPhoenix
2

Answer:

1/3 and -4 are the zeroes of polynomial 3x^2 + 11x - 4 .

Step-by-step explanation:

The Zeroes of Polynomial can be found using

MIDDLE TERM FACTORISATION

STEPS:-

  1. Multiply the first and Last term
  2. See which factors match with second factor
  3. Divide the middle term
  4. Factorise

We have:-

3x^2 + 11x - 4

So 3*4 = 12, Factors of 12 applicable here are 1 and 12.

So we have now

3x^2 + 12x-1x - 4

= 3x(x+4)-1(x+4)------------------------(Taking 3x common and -1 common)

= (3x-1)(x+4)

  • So we first take the first factor 3x-1

        3x-1=0

        3x=1

x= 1/3 is first zero.

  • Now we take the second factor

x+4=0

x= -4 is the second zero.

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