Question

If the zeroes of a polynomial are 4,1 find the quadratic polynomial

Answer 1

Answer:

x²-5x+4=0

Step-by-step explanation:

zeroes of polynomial are 4 and 1

therefore

x-4=0 and x-1=0

(x-4) (x-1) =0

x²-5x+4=0

the quadratic equation is x²-5x+4=0

Answer 2

Answer:

x² - 5x + 4

Step-by-step explanation:

We have,

=> Zeros of the polynomial = 4,1

To find,

=> Quadratic polynomial

Solution,

>> Sum of zeroes = 4 + 1

• 5

>> Product of zeroes = 4(1)

• 4

Quadratic polynomial:

=> x² - (Sum of zeroes)x + (Product of zeroes)

>> x² - (5)x + (4)

>> x² - 5x + 4 is the quadratic polynomial.