Question

what is the zero polynomial of =4x²-3x+7 at x=0​

Answer 1

Answer:

Given: α,β are zeroes of the polynomial 4x

2

+3x+7

To find the value of

α

1

+

β

1

We know that equation ax

2

+bx+c=0

Then sum of roots =

a

−b

and product of roots=

a

c

From the given quadratic equation,

α+β=−

4

3

and αβ=

4

7

Therefore,

α

1

+

β

1

=

αβ

α+β

=

4

7

−

4

3

=−

7

3

⇒

α

1

+

β

1

=−

7

3

Answer 2

Answer:

4x²-3x+7 = 4x²+4x-7x+7

= 4x(x+1)-7(x+1)

= (4x-7)(x+1)

x = 7/4 or x = -1

$\therefore\: the \: zeros \:are\: \frac{7}{4}\:and\: -1$