Question

Find a quadratic polynomial whose zeroes are the sum and the product of the zeroes of the polynomial x² + 4x – 5​

Answer 1

Answer:

X is equal to - 5 and x is equal to 1

Answer 2

Answer:

x²+9x+20

Step-by-step explanation:

x²+4x-5

by splitting the middle term

(x²+5x)(-x-5)

x(x+5)-1(x+5)

(x-1)(x+5)

so, zeroes are 1,-5

now,

a = I-5 = -4

b=1×(-5) = -5

Then,

By x²-Sx+P

x²-(-4-5) x+[(-4)×(-5)]

x²+9x+ 20 Ans.