Question

Find+the+zeroes+of+the+polynomial+p(x)=x2+7x+10.+verify+the+relation+between+zeroes+and+coefficients

Answer 1

Answer:

${x}^{2}+7x+10\\={x}^{2}+2x +5x + 10 \\ = x(x + 2) + 5(x + 2) \\ = (x + 5)(x + 2) \\ x = -5 \: or \: x = - 2$

sum of zeroes = -b/a

(-5)+(-2)=-7/1

-7=-7

product of zeroes =c/a

(-5)(-2)=10/1

10=10