Question

xsq +3x -10 find the zeroes

Answer 1

Hello,

Zeroes can be found by finding the factorization.
we can see that the polynomial is quadratic so we can do middle term splitting.

P(x) =x²+3x - 10

inheritance fitting we get p (x) equals to :-

P(x) = x²+5x - 2x - 10
P(x) = x(x+5) - 2(x+5)
P(x) = (x+5) (x-2)

From factor theorem, we can say that
The Zeroes are -

(x+5)=0
So, x = (-5)

(x-2) = 0
So, x = 2

the zeros are (2) and (- 5)

Hope this will be helping you ✌️

Answer 2

Hey dear !!!

__________________________

==> In the example

p(x) = x² + 3x - 10

We have to find the zeroes of this quadratic polynomial .

We know that by splitting the middle term we can find the zeroes of any polynomial . So lets do it !!!

=> x² +3x - 10

=> x² + 5x - 2x - 10

=> x(x + 5) -2(x + 5)

=> ( x + 5) (x - 2)

If x + 5 = 0

∴ x = -5 is the first zero

If x - 2 = 0

∴ x = 2 is the second zero


Therefore, -5 and 2 are the zeroes of the given quadratic polynomial .


Thanks !!!!


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