Find the real zeros of the following:
(a) f(x)= x^3+2x^2-4x-8
(b) g(x)= -x^2+2

  (a) -2 (multiplicity 2) and +2

  (b) ±√2

Step-by-step explanation:

(a) Factor by grouping:

  f(x) = (x^3 +2x^2) -(4x +8)

     = x^2(x +2) -4(x +2) . . . . . remove the common factor from each group

     = (x^2 -4)(x +2) . . . . . . . . .collect the factors

     = (x -2)(x +2)(x +2) . . . . . . factor the difference of squares

Zeros are the values of x that make these factors be zero: {2, -2, -2}.

__

(b) g(x) = 0 = -x^2 +2

You can factor this as the difference of squares:

  (√2 -x)(√2 +x) = 0

The zeros are the values of x that make these factors be zero: {√2, -√2}.

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.

10 down (bang1)

5 up

5down (2)

2.5 up

2.5 down (3)

1.25 up

1.25 down (4)

now add them up : )

hoped i lol