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2 years ago

Let f(x) = -3x - 4 and g(x) = 2x - 6. find (f*g)(-7) A. 28 B. -20 C. 17 D. 56

Mathematics

1 answer:

schepotkina [342]2 years ago

5 0

(f•g)(x) = -3(2x-6) -4
= -6x + 14

f•g(-7) = -6(-7) + 14 = 56

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Which polynomial can be simplified to a difference of squares

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<h2>Hello!</h2>

The answer is:

The polynomial that can be simplified to a difference of squares is the second polynomial:

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To solve this problem, we need to look for which of the given quadratic terms given for the different polynomials can be a result of squaring (elevating by two).

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Discarding, we have:

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So, the first and the fourth polynomial are discarded and cannot be simplified to a difference of squares at least using whole numbers.

Therefore, we need to work with the second and the third polynomial.

For the second polynomial, we have:

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For the third polynomial, we have:

$25a^{2} +6a-6a+36=16a^{2}+36=(5a)^{2}+(6)^{2}$

So, the third polynomial cannot be simplified to a difference of squares since it's a sum of squares.

Hence, the polynomial that can be simplified to a difference of squares is the second polynomial:

$16a^{2}-4a+4a-1=16a^{2}=(4a)^{2}-(1)^{2}$

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