Write the quadratic equation whose roots are -1 and -4 and whose leading coefficient is 1

The quadratic equation is y = x² + 5x + 4

Step-by-step explanation:

The form of the quadratic equation is y = ax + bx + c, where

∵ The leading coefficient of the quadratic equation is 1

∴ a = 1

∴ The equation is y = x² + bx + c

∵ Its roots are -1, -4

∴ Their sum = -1 + -4 = -5

∵ Their sum =

∴ -5 =

∴ -5 = -b

→ Multiply both sides by -1

∴ 5 = b

∵ The product of the roots = -4 × -1 = 4

∵ The product of the roots =

∴ 4 =

∴ 4 = c

→ Substitute the values of b and c in the equation above

∵ y = x² + 5x + 4

∴ The quadratic equation is y = x² + 5x + 4

step-by-step explanation:

through just a quick inspection, one can see that the graph of this cubing function starts in quadrant iii and ends in quadrant i.   when x = 0, y = 3, so the y-intercept is (0, 3).

if graphs are part of the problem statement, share them.   .

c.35

step-by-step explanation:

8+13=21

21+8=29

29+6=35