Question

A14, 2) and bio, 4)
Wo points.
3. If a and B are the zeroes of quadratic polynomial p(x) = x2 + 5x + 5, then write another polynomial
whose roots are a + 1 and B + 1.​

Answer 1

Answer:

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Answer 2

New root = a + 1 , b + 1

Addition of roots
= A+ B + 2
= -5 + 2
= -3 = -b/a

Multiply roots
( A + 1 ) ( B + 1)
= (AB) + (A + B) + 1
= 5 -5 + 1
= 1 = c/a

a = 1
b = 3
c = 1

So,
New P(x ) = x^2 + 3x + 1