I need help with this problem please ?
2 answers:
Answer:
x² - 4x + 4
x² + 10x + 25
Step-by-step explanation:
Hello!
Trinomials are polynomials with 3 terms, hence "tri".
<u>Perfect square trinomials</u> are the result of multiplying a binomial (2 terms) by itself, making it a square of a binomial.
<h2>Finding Perfect Square Trinomials</h2>We can easily remove the first two solutions, as they only have two terms.
We can factor in the other three and see if the binomials as the factors are the same.
<h3>x² - 4x + 4</h3>- x² - 4x + 4
- x² - 2x - 2x + 4
- x(x - 2) - 2(x - 2)
- (x - 2)(x - 2)
- (x - 2)²
This is a perfect square trinomial.
<h3>x² + 10x + 25</h3>- x² + 10x + 25
- x² + 5x + 5x + 25
- x(x + 5) + 5(x + 5)
- (x + 5)(x + 5)
- (x + 5)²
This is a perfect square trinomial.
<h3>x² + 15x + 36</h3>- x² + 15x + 36
- x² + 3x + 12x + 36
- x(x + 3) + 12(x + 3)
- (x + 12)(x + 3)
This is NOT a perfect square trinomial.
<h2>Another Method...</h2>We can also check if a trinomial is a square by using a simple checklist.
Perfect Square Trinomial:
- The first term should be a perfect square
- The last term should be a perfect square (don't include the sign)
- The middle term is the square root of the last term, and then multiplied by 2
These rules only apply to polynomials with 3 terms.
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Answer and Step-by-step explanation:
Abel is incorrect. denotes that the two terms are being multiplied. Instead of multiplying, Abel added these two terms.
The correct solution would be:
Answer:
The linear equation and Erin can pick
apples per hour if she maintains a constant rate.
Step-by-step explanation:
To find the linear equation of the relationship from the graph.
We have to find the coordinates .
Let say and
Here variable is the time in hour and
variable is the number of apples.
To find linear equation we have to find the slope (m) of the line by using point-slope form.
So,
The the linear equation will be.
Number of apples Eric pick in an hour is .
By plugging the value of in the equation we can find the number of apples picked by Erin per hours subsequently
for second hour.
In each hour she picks apples.
Linear equation is and number of apples picked by Eric in an hour is
.