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Oduvanchick [21]
3 years ago
9

Determine if p2+14p+49 is a perfect trinomial

Mathematics
1 answer:
shusha [124]3 years ago
4 0

Answer:

Step-by-step explanation:

p²  + 14p + 49 = p² + 2 * 7p + 7²

Comparing with a² + 2ab + b²,

a= p and b = 7

So 2ab = 2*p*7 = 14 p

So, p²  + 14p + 49 is a perfect trinomial

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Answer:

<u><em>Part A:</em></u> D. y = (x + 1)(x+3)\\

<u><em>Part B:</em></u> C. 3x(x-3) = 0\\

Step-by-step explanation:

For part A) we just have to plug in 0 for x and solve for y until we find the equation that says 3 is the value for y when x is 0. For purposes of speeding up the process the correct answer is D. I will show how to check for it now.

The equation: y = (x + 1)(x+3)

Now plug in 0 for x.

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Now solve.

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This proves that this is the correct answer.

For part B) we just have to plug in the give values for x separately and check for each value of x that it equals 0. For the purpose of speeding up the process the correct answer is C. I will show how to check for it now.

The equation: 3x(x-3) = 0

Now plug in x for 0 and solve:

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This equation is true, now we check for the other value of x, 3.

3*3(3-3) = 0\\

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