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3 years ago

Find all rational zeros of the polynomial

Mathematics

1 answer:

rjkz [21]3 years ago

4 0

$x^3+x^2-5x+3=x^3+3x^2-2x^2-6x+x+3\\\\=(x^3-2x^2+x)+(3x^2-6x+3)=x(x^2-2x+1)+3(x^2-2x+1)\\\\=(x^2-2x+1)(x+3)=\underbrace{(x^2-2(x)(1)+1^2)}_{(a-b)^2=a^2-2ab+b^2}(x+3)=(x-1)^2(x+3)\\\\P(x)=0\iff(x-1)^2(x+3)=0\iff(x-1)^2=0\ \vee\ (x+3)=0\\\\x-1=0\ \vee\ x-1=0 \vee\ x+3=0\\\\x=1\ \vee\ x=1\ \vee\ x=-3\\\\Answer:\ \boxed{x_1=1,\ x_2=1,\ x_3=3}$

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Solve the equation. Then check your solution.

ra1l [238]

Answer:

Step-by-step explanation:

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3 years ago

5 pounds of apples cost $12. How many pounds of apples can you buy for $1.

Diano4ka-milaya [45]

Answer:

5/12 or 0.41666667 pound

Step-by-step explanation:

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3 years ago

Read 2 more answers

PLEASE HELP ME 30POINTS +BRAINLY

Serga [27]

1) If a die is rolled once, determine the probability of rolling a 4: Rolling a 4 is an event with 1 favorable outcome (a roll of 4) and the total number of possible outcomes is 6 (a roll of 1, 2, 3, 4, 5, or 6). Thus, the probability of rolling a 4 is $\frac{1}{6}$ .

If a die is rolled once, determine the probability of rolling at least a 4: Rolling at least 4 is an event with 3 favorable outcomes (a roll of 4, 5, or 6) and the total number of possible outcomes is again 6. Thus, the probability of rolling at least a 4 is $\frac{3}{6}$ = $\frac{1}{2}$ .

<h3>Here are two more examples: </h3>

If a coin is flipped twice, determine the probability that it will land heads both times:

Favorable outcomes: 1 -- HH

Possible outcomes: 4 -- HH, HT, TH, TT

Thus, the probability that the coin will land heads both times is $\frac{1}{4}$ .

If Dan grabs one sock from a drawer containing 3 white socks, 4 blue socks, and 5 yellow socks, what is the probability that he will grab a white sock?

Favorable outcomes: 3 (3 white socks)

Possible outcomes: 12 (3 white socks + 4 blue socks + 5 yellow socks)

Thus, the probability that Dan will grab a white sock is $\frac{3}{12}$ = $\frac{1}{4}$ .

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3 years ago

Can you help me solve these

Diano4ka-milaya [45]

Answer:

1. y = 5 - 2x

2. b = a - 3

3. x = 5y - 12

4. c = (12+7d)/3

5. y = (24-4x)/3

6. x = (4 - 3y)/2

Step-by-step explanation:

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3 years ago

ANSWER ASAP GIVING BRAINLIEST AND STUFF!

kupik [55]

Answer:

Nope

The absolute value of a number or an expression is always positive or zero. It cannot be negative. With absolute value, we are only interested in how far a number is from zero, not the direction.

Step-by-step explanation:

The absolute value of a number means the distance from 0. ... You cannot have negative distance, so it has to be positive.

How can you use absolute value to represent a negative number?

EX:

Subtract one number from the other and give the result the sign of the number that has the greater absolute value. 2 – 9 = -7 because the difference between 9 and 2 is 7 and the -9 has the larger absolute value making the result negative.

(SORRY) IF THIS IS WRONG THIS IS WHAT THE INTERNET GAVE TO ME <3 anyways i hope this kinda help you understand

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2 years ago