Write a polynomial function of least degree and leading coefficient 1 that has the given roots.
1. 3, 2 + √6

2. 4, 7i

3. √11, 1/4

To find to polynomial from zeros.

Find the factors. If it is a positive zero, the factor will be (x- zero) If it is a negative zero if is (x+zero)

Multiply the factors together.

Zeros of -4, -2, 5 would be:

Find the factors: (x+4)(x+2)(x-5)

Multiply the factors together: Will start out with FOIL for (x+4)(x+2) = x2+2x+4x+8 Combine like terms. Then multiply by the last factor

(x2+6x+8)(x-5) using the distributive property

x3+6x2+8x-5x2-30x-40 Combine like terms

x3+x2-22x-40

For the next one, the factors are a bit more complicated because of the radical. With a radical, you will also have to have a factor with the conjugate (Same term opposite sign)

4, 6, negative square root of 7

Factors would be: (x-4)(x-6)(x-√7)(x+√7) You can FOIL the first 2 factors and the last 2, then multiply them together using the distributive property.

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.

i think it will be zero as slope has a formula of difference between initial and final distance divided by itz time interval