Question

4. Find the zeroes of the quadratic polynomial x

2 + 7x + 10 and verify the relationship

between the zeroes and the coefficients. (2)

5. Find a quadratic polynomial, the sum and product of whose zeroes are –3 and 2,

respectively. (2)

6. The diagonal of a rectangular field is 60 meters more than the shorter side. If the longer

side is 30 meters more than the shorter side, find the sides of the field. (3)

7. Find the largest number that will divide 398, 436 and 542 leaving remainders 7, 11, and​

Answer 1

Answer:x²+7x+10=0

x²+2x+5x+10=0

x(x+2)+5(x+2)=0

(x+2)(x+5) = 0

x+2 = 0 ; x = -2

x+5 = 0 ; x = -5

Relationship between the zeroes and coefficients :-

Sum of zeroes = -2+(-5) = -2-5

= -7/1 = -x coefficient /x² coefficient

Product of zeroes = (-2)(-5)

= 10/1 = constant/x² coefficient

Step-by-step explanation: