Question

The zeroes of polynomial p(x) =4x²-16x + 15​

Answer 1

Answer:

using quadratic formula

Step-by-step explanation:

this is your solution

Answer 2

Answer:

Question :

p(x) = 4x² - 16x + 15

Solution :

let (x - y) is the factor of this polynomial p(x)

so , x-y = 0  ⇒ x = y

so if we put y in this eq we must get the remainder 0

means,

           4(y)² - 16(y) + 15 = 0

        How to split the middle term :(If you know you can ignore this part)

          we have to find 2 digit whose sum or difference  is (-16y) and product

           is

          4y²*15 = 60y²

          so we will take no -10y and -6y since (-10) +(-6y) = -10y - 6y =  -16y

          and -10y * -6y = 60y²

            On Spliting its middle term we get ,

             10y and 6y

        we get eq

       ⇒  4y² - 16y + 15 = 0

       ⇒  4y² -10y -6y + 15 =0

       ⇒  2y(2y - 5) - 3 (2y - 5) = 0

       ⇒  (2y-5)(2y - 3)= 0

       ⇒  2y -5 = 0 or  ⇒  2y-3 = 0

       ⇒  2y = 5      or  ⇒  2y = 3

       ⇒   y = 5/2    or  ⇒  y = 3/2

         Answer :

         y = 5/2 or 3/2

I hope Get the Solution. Thanks !!!!!