Question

Find a quadratic polynomial whose zeroes are 5-3√2 and 5+3√2.​

Answer 1

Answer:

x²-10x+7

Step-by-step explanation:

Sum of zeros = 5-3 root 2 + 5 + 3 root 2 = 10

Product of zeros = (5+3root2)(5-3root2)=5²-(3 root 2)² = 25-18 = 7

P(x) = x²-(sum of zeros) x + product of zeros

= x²-10x + 7

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