All categories

3 years ago

I have no idea how to know when to factor or know when the polynomial is completely factored or not. PLEASE HELP!

Mathematics

1 answer:

Roman55 [17]3 years ago

8 0

Problem 1 is fully factored as each term is a binomial raised to some exponent. If the exponent isn't showing up, it's because it is 1. Recall that x^1 = x.

Problem 2 can be factored further because x^2-8x+16 factors to (x-4)(x-4) or (x-4)^2. To get this factorization, you find two numbers that multiply to 16 and add to -8. Those two numbers are -4 and -4 which is where the (x-4)(x-4) comes from. Overall, the entire thing factors to (x-4)^2*(x+3)*(x-2)

Problem 3 is a similar story. We can factor x^2-1 into (x-1)(x+1). I used the difference of squares rule here. Or you can think of x^2-1 as x^2+0x-1, then find two numbers that multiply to -1 and add to 0. Those two numbers are +1 and -1 which leads to (x+1)(x-1). So the full factorization is (x-1)(x+1)(x+1)(x-4) which is the same as (x-1)(x+1)^2(x-4)

You might be interested in

Please help I will give brainiest

vovikov84 [41]

Answer:

Step-by-step explanation:

The constant of proportionality is what determines the relationship between y and x. If t is the constant of proportionality then an example is y = tx .

So 4 is the constant of proportionality

7 0

3 years ago

Read 2 more answers

Determine whether the point is on the graph of the equation 2x+3y=8.<br> (1,2)

geniusboy [140]

The point $(1,2)$ is on the graph of the equation.

Explanation:

The equation is $2x+3y=8$

We need to determine the point $(1,2)$ is on the graph.

To determine the point $(1,2)$ is on the graph, we need to substitute the point in the equation and find whether the LHS is equal to RHS.

Thus, substituting the point $(1,2)$ in the equation $2x+3y=8$ , we get,

$2(1)+3(2)=8$

Multiplying the terms within the bracket, we have,

$2+6=8$

Adding the LHS, we have,

$8=8$

Thus, both sides of the equation are equal.

Hence, the point $(1,2)$ is on the graph of the equation $2x+3y=8$

3 0

3 years ago

Which equation represents a linear function? A) y = |x| B) y = x2 C) y = -3x3 D) y = 1 4 x

Step2247 [10]

Linear means the highest exponent on the placholder is 1
it is also just a straight line

y=|x| is like y=(√x)², it is 2 straight lines

B. y=x², exponent is 2 so no

C. y=-3x³, exponent is 3, so no

D. y=1/4x, yep

D is the answer

5 0

3 years ago

Read 2 more answers

A card is picked at random from the following set. What is P(9) ? Write your answer as a percentage in the box given below.

irina1246 [14]

Answer:

25%

Step-by-step explanation:

The (not mentioned in the question) set is: 6 7 8 9.

There are 4 total outcomes and only 1 favorable outcome, then the probability to pick a 9 is:

P(9) = favorable outcome/total outcomes

P(9) = 1/4 = 0.25 or 0.25*100 = 25%

4 0

3 years ago

The brand manager for a brand of toothpaste must plan a campaign designed to increase brand recognition. He wants to first deter

VMariaS [17]

Answer:

He must survey 123 adults.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.