the zeroes of the following polynomials by factorisation method and verify the relations between the zeroes and the coefficients of the polynomials: 4×2 -3x-1 About the author Hailey
[tex]The quadratic polynomial is y2+235y−5. The zeros of the polynomial are: y2+235y−5=0 ⟹ y2+25y−25y−5=0 ⟹ y(y+25)−25(y+25)=0 ⟹ (y+25)(y−25)=0 ⟹ y−25 and y=25=0 The zeros are −25 and 25. Now verifying the relation of zeros with the coefficients of the quadratic polynomial y2+235y−5: Comparing it with the standard from of quadratic equation ax2+bx+c, we get, a=1, b=235 and c=−5 Thus, Sum of the zeros =−25+25 =2−45+5 =2−35 =−ab. Product of the zeros =−25×25 =−5 =ac. Hence, verified. Reply
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[tex]The quadratic polynomial is y2+235y−5.
The zeros of the polynomial are:
y2+235y−5=0
⟹ y2+25y−25y−5=0
⟹ y(y+25)−25(y+25)=0
⟹ (y+25)(y−25)=0
⟹ y−25 and y=25=0
The zeros are −25 and 25.
Now verifying the relation of zeros with the coefficients of the quadratic polynomial y2+235y−5:
Comparing it with the standard from of quadratic equation ax2+bx+c, we get, a=1, b=235 and c=−5
Thus,
Sum of the zeros =−25+25 =2−45+5 =2−35
=−ab.
Product of the zeros =−25×25 =−5
=ac.
Hence, verified.