Question

Please help me friends.............

Answer 1

Answer:

Step-by-step explanation:

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Answer 2

Answer:

1. (h + p)(x) = 2x² - 11x + 16

2. It is the same problem as #1.

3. (k - f)(x) = 5x³ + x² - 17x + 2

4. (q - g)(x) = 4x² + 7x - 14

Step-by-step explanation:

(h + p)(x)

We are given that the values of h(x) = 2x² - 5x + 15 and p(x) = -6x + 1. Using these values you can substitute them into (h + p)(x).

(2x² - 5x + 15) + (-6x + 1)

Start by combining like terms. -5x and -6x will combine; 15 and 1 will also combine. 2x² will stay the same since there is no other term for it to combine with.

2x² - 11x + 16

Combine like terms. We will be adding since h(x) and p(x) are being added together.

(k - f)(x)

We are given that k(x) = 8x³ - 12x + 2 and f(x) = 3x³ - x² + 5x. Knowing these values we can substitute k(x) and f(x) into (k - f)(x). This will look like:

(8x³ - 12x + 2) - (3x³ - x² + 5x)

Start by combining like terms. The terms to the same power can be combined (keep in mind we are finding the difference, in other words: subtracting). The terms with "x" can be combined as well. After doing so, your evaluated expression will look like:

5x³ + x² - 17x + 2

(q - g)(x)

q(x) = 4x² + 9x - 10 and g(x) = 2x + 4. Substitute q(x) and g(x) into (q - g)(x).

(4x² + 9x - 10) - (2x + 4)

Use the same rules I said above. The simplified expression will look like:

4x² + 7x - 14