Question

7
Find the zeroes of the quadratic polynomial
y = p(x) = x2 – 2x - 8
and verify the relationship between the zeroes and the coefficients.​

Answer 1

Step-by-step explanation:

• IN THE FIRST STEP WE WILL FACTORISE THE MIDDLE TERM
• AFTER FACTORISING WE GET (x-4) AND(x+2)AS THEIR FACTORS NOW,- 4 AND+2 AFTER GOING TO THAT SIDE -4 WILL BECOME +4 AND +2 WILL BECOME -2
• NOW WE WILL VERIFY THE RELATIONSHIP BETWEEN THEM
• TO VERIFY IT FIND SUM OF ZEROS=
• $\alpha + \beta$
• That is -b/a
• AND WE WILL ALSO FIND THE SUM OF ZEROS WHICH WE HAD FACTORISED 4+(-2) 4-2=2 AND SUM OF ZEROS =-b/a that is -(-2)/1 =2
• HENCE 2=2
• NOW PRODUCT OF ZEROS =
• $\alpha \beta$
• THAT IS
• c/a
• -8/1
• HENCE PRODUCT OF ZEROS =-8
• NOW TO VERIFY IT WE HAVE TO FIND THE PRODUCT OF THE TWO ZEROS WHICH WE HAD FACTORISED
• THAT ARE 4×(-2)
• THE ANSWER IS -8
• -8=(PRODUCT OF ZEROS )
• -8=(FACTORISED PRODUCT OF ZEROS)
• HENCE -8=-8
• THUS,RELATIONSHIP VERIFIED
• HOPE IT HELPS YOU
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• IT TOOK TOO MUCH TIME TO EXPLAIN IT STEP BY STEP