Question

Find the zeroes of the polynomial p(x) = x (x-2)(x + 3)​

Answer 1

Answer:

P( x ) = 0

p ( x ) = x ( x - 2 ) ( x + 3 )

➡ p ( x ) = ( x - 2 ) + ( x + 3 )

x = -2 ... x = 3

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HOPE U UNDERSTAND ☺☺

Answer 2

To find the zeros, we have to solve p(x)=0

Since there are three factors, there are three possiblities which makes each factor equal to zero.

If x(x-2)(x+3)=0, x=0 or x-2=0 or x+3=0

Therefore, the zeros of the polynomial are x=0, 2, -3

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How we solve equations is based on that multiplication of 0 is always 0.

So when we solve equations, we use the fact that (factor)=0