Simplify the expression to a polynomial in standard form: (4x-3)(-2x^2-7x-5)

How to solve your problem

(4−3)(−22−7−5)

(4x−3)(−2x2−7x−5)(4x-3)(-2x^{2}-7x-5)(4x−3)(−2x2−7x−5)

Simplify

1

Distribute

(4−3)(−22−7−5)

(4x−3)(−2x2−7x−5){\color{#c92786}{(4x-3)(-2x^{2}-7x-5)}}(4x−3)(−2x2−7x−5)

4(−22−7−5)−3(−22−7−5)

2

distribute

4(−22−7−5)−3(−22−7−5)

4x(−2x2−7x−5)−3(−2x2−7x−5){\color{#c92786}{4x(-2x^{2}-7x-5)}}-3(-2x^{2}-7x-5)4x(−2x2−7x−5)−3(−2x2−7x−5)

−83−282−20−3(−22−7−5)

3

−83−282−20−3(−22−7−5)

−8x3−28x2−20x−3(−2x2−7x−5)-8x^{3}-28x^{2}-20x{\color{#c92786}{-3(-2x^{2}-7x-5)}}−8x3−28x2−20x−3(−2x2−7x−5)

−83−282−20+62+21+15

4

Solution

−83−222++15

I know this looks like a lot but its just how you solve your problem.

therefor, your answer is

Solution

−83−222++15

Hope this helps!

Have a great day!

-Hailey

a) z = -2.15 has p-value = 0.0158

b) z = -0.93 has p value = 0.1762

Step-by-step explanation:

We are given two z-scores and two p-values and we have to identify which p-value belongs to which z-score without using any calculator/table.

To solve this problem we need to understand about the p-value of the z-score and what does it represent. The p-value of a z-score represents the area under the graph in a standard normal curve which is to the left of that z-score. If the z-score is increased, the area to its left will increase, so this means the p-value will also increase.

From the given z-scores, z = - 2.15 is smaller than z = - 0.93. This means the area to the left of z = - 2.15 in a standard normal curve will be lesser than that of z = - 0.93. Hence, the p-value for z = - 2.15 will be lesser than the p-value of z = - 0.93

So,

p-value for z = - 2.15 is p = 0.058

and

p-value for z = 0.1762 is p = 0.1762