Question

12. Verify the relations between zeroes and coefficient of the quadratic polynomial x2-4​

Answer 1

Find zeroes of the polynomial x^(2)-4 and verify the relation between zeroes and coefficients. ∴ Zeroes of p(x)are 2 and -2. and product of zeroes =(2)(-2)=-4=-41=coefficient termcoefficient ofx2 Hence Verified.

Answer 2

Answer:

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Step-by-step explanation:

Let p(x)=x2−4=x2−22=(x−2)(x+2)

∴ p(x)=0

⇒ (x−2)(x+2)=0

⇒ x−2=0 or x+2=0

⇒ x=2 or x=−2

∴ Zeroes of p(x)are 2 and -2.

Now,  sum of zeroes =2+(−2)=0=−01=−coefficient ofxcoefficient ofx2

and   product of zeroes =(2)(−2)=−4=−41=coefficient termcoefficient ofx2  Hence Verified.