Question

a quadratic polynomial whose zeroes are -4 and -5​

Answer 1

Let the quadratic polynomial be ax2 + bx

α = 1 and β = - 3  

∴ Sum of the zeroes (α + β) = 1 + (– 3) = – 2 and, product of zeroes (a+ p) = 1 x (–3) = –3

Hence, the quadratic polynomial  

= x2 – (α + β) x + αβ  

= x2 – (– 2)x + (– 3)  

= x2 + 2x – 3  

Now, sum of the zeroes  

equals 1 plus left parenthesis negative 3 right parenthesis equals fraction numerator negative 2 over denominator 1 end fraction equals fraction numerator Coefficient space of space straight x over denominator Coefficient space of space straight x squared end fraction  

and product of the zeroes equals 1 cross times left parenthesis negative 3 right parenthesis fraction numerator negative 3 over denominator 1 end fraction  

equals fraction numerator Constant space term over denominator Coefficient space of space straight x squared end fraction  

Step-by-step explanation: