Question

write the sum of the zeroes of the polynomial 3x² +5x -4
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Answer 1

Step-by-step explanation:

Given that:-

Given polynomial is 3x²+5x-4

on comparing with the standard quadratic polynomial ax²+bx+c then

a=3 ,

b=5 ,

c=-4

we know that the sum of the zeroes of ax²+bx+c is -b/a

Sum of the zeroes of 3x²+5x-4 is

Sum of the zeroes =-b/a

=>-(5/3)

=>-5/3

Sum of the zeroes = -5/3

Answer 2

Answer:

Sum of zeroes = -5/3

Step-by-step explanation:

Given :

polynomial 3x² + 5x - 4

To find :

the sum of zeroes

Solution :

To know the sum of the zeroes in the easier method, we must know the relation between zeroes and coefficients.

For the polynomial ax² + bx + c,

• Sum of zeroes = -b/a
• Product of zeroes = c/a

3x² + 5x - 4 is of the form ax² + bx + c ;

By comparing, we get

• a = 3
• b = 5
• c = -4

So, sum of zeroes of the given polynomial 3x² + 5x - 4

   = -b/a

   = -5/3

 

Therefore, the required value of sum of zeroes is "-5/3"

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#Know more :

• Quadratic polynomial is a polynomial of degree 2.
• General form is ax² + bx + c
• We can find the zeroes by using quadratic formula,

       $\sf x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}$

• b² - 4ac is called discriminant (D)
• Based on the value of discriminant, nature of roots is determined.