Question

Check all polynomials that are perfect square trinomials:

9x2 − 6x + 1

36b2 − 24b + 8

16x2 + 24x + 9

4a2 − 10a + 25

PLEASE HELP!:)

Answer 1

No one snipe me.

Answer 2

lol

Answer 3

Here are some examples:

a) 2x² + 7x − 15 = (2x − 3)(x + 5)
b) 2x² − 7x − 15 = (2x + 3)(x − 5)
c) 2x² − x − 15 = (2x + 5)(x − 3)
d) 2x² − 13x + 15 = (2x − 3)(x − 5)

Answer 4

But how do you tell if they are perfect square trinomials?

Answer 5

The square of a binomial
(a + b)² <=== Form

The square of a binomial comes up so often that the student should be able to write the final product immediately. It will turn out to be a very specific trinomial. To see that, let us square (a + b):
(a + b)² = (a + b)(a + b) = a² + 2ab + b².

For, the outers plus the inners will be
ab + ba = 2ab.
The order of factors does not matter.

The square of any binomial produces the following three terms:
1. The square of the first term of the binomial: a²
2. Twice the product of the two terms: 2ab
3. The square of the second term: b²

The square of every binomial has that form: a² + 2ab + b².
To recognize that is to know an essential product in the "multiplication table" of algebra.

Is this a perfect square trinomial: x² + 14x + 49 ?
Answer: Yes. It is the square of (x + 7).
x² is the square of x. 49 is the square of 7. And 14x is twice the product of x· 7.
In other words, x² + 14x + 49 could be factored as
x² + 14x + 49 = (x + 7)²

Answer 6

ok so that means b, c, and d are correct?

Answer 7

Yes, sir! See, it's easy; isn't it?

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Answer 8

lol thanks

Answer 9

No problem.