Question

From a puadratic polynomial whose zeroes are 7+/5 and 7-/5​

Answer 1

Given:

• Zeroes of quadratic polynomial are 7+√5 and 7-√5.

To find:

• The quadratic polynomial:

Solution:

As we know that :

• Quadratic polynomial

=> x²- (sum of zeroes) x + product of zeroes .

=> p(x) = x²- ( 7+√5+7-√5)x + (7+√5)(7-√5)

=> p(x) = x²- 14x + (7²-√5²)

=> p(x) = x²-14x + (49-5)

=> p(x) = x²-14x + 44.

Hence, x² -14x+44 is the quadratic polynomial whose. zeroes are 7+√5 and 7-√5.

Answer 2

Step-by-step explanation:

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