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mario62 [17]
3 years ago
15

PLEASE HELP!!! WILL GIVE BRAINLIEST AWARD FOR BEST EXPLAINED! PLEASE HELP

Mathematics
2 answers:
Arada [10]3 years ago
8 0

Answer:

[1]

Given: (5x^3 + 3x^2 - 7x + 10) - (3x^3 - x^2 + 4x - 1)

Remove the parenthesis, we get;

(5x^3 + 3x^2 - 7x + 10) - (3x^3-x^2+ 4x -1)

5x^3 + 3x^2 - 7x + 10- 3x^3 + x^2- 4x + 1

Like terms are the those terms with same variable and powers.

Combine like terms;

2x^3 + 4x^2 - 11x + 11

To write this polynomial in standard form, you write starting with the term with the highest degree, or exponent(i.e x^3), and then in decreasing order .

Standard form: 2x^3 + 4x^2 - 11x + 11

To, classify a polynomial by degree, you just look at the highest exponent, or degree.

Since, 3 is the highest degree (x^3), it is a cubic.

Now, classify a polynomial by the number of terms, count how many terms are in the polynomial( 2x^3 + 4x^2 - 11x + 11)

Number of terms: 4 (so this is polynomial)

[2]

Similarly,

for  (9w - 4w^2 + 10) + (8w^2 + 7 + 5w)

Remove the parenthesis, we get;

9w - 4w^2 + 10+ 8w^2 + 7 + 5w

Combine like terms; we have

14w + 4w^2 + 17

Standard form: 4w^2 + 14w + 17

Degree of the polynomial is, 2

Number of terms: 3 ( so, this is trinomial)



kvasek [131]3 years ago
5 0
Let's simplify step-by-step. answer one <span><span><span><span><span>5<span>x3</span></span>+<span>3<span>x2</span></span></span>−<span>7x</span></span>+10</span>−<span>(<span><span><span><span>3<span>x3</span></span>−<span>x2</span></span>+<span>4x</span></span>−1</span>)</span></span>Distribute the Negative Sign:<span>=<span><span><span><span><span>5<span>x3</span></span>+<span>3<span>x2</span></span></span>−<span>7x</span></span>+10</span>+<span><span>−1</span><span>(<span><span><span><span>3<span>x3</span></span>−<span>x2</span></span>+<span>4x</span></span>−1</span>)</span></span></span></span><span>=<span><span><span><span><span><span><span><span><span>5<span>x3</span></span>+<span>3<span>x2</span></span></span>+</span>−<span>7x</span></span>+10</span>+<span><span>−1</span><span>(<span>3<span>x3</span></span>)</span></span></span>+<span><span>−1</span><span>(<span>−<span>x2</span></span>)</span></span></span>+<span><span>−1</span><span>(<span>4x</span>)</span></span></span>+<span><span>(<span>−1</span>)</span><span>(<span>−1</span>)</span></span></span></span><span>=<span><span><span><span><span><span><span><span><span><span><span>5<span>x3</span></span>+<span>3<span>x2</span></span></span>+</span>−<span>7x</span></span>+10</span>+</span>−<span>3<span>x3</span></span></span>+<span>x2</span></span>+</span>−<span>4x</span></span>+1</span></span>Combine Like Terms:<span>=<span><span><span><span><span><span><span><span>5<span>x3</span></span>+<span>3<span>x2</span></span></span>+<span>−<span>7x</span></span></span>+10</span>+<span>−<span>3<span>x3</span></span></span></span>+<span>x2</span></span>+<span>−<span>4x</span></span></span>+1</span></span><span>=<span><span><span><span>(<span><span>5<span>x3</span></span>+<span>−<span>3<span>x3</span></span></span></span>)</span>+<span>(<span><span>3<span>x2</span></span>+<span>x2</span></span>)</span></span>+<span>(<span><span>−<span>7x</span></span>+<span>−<span>4x</span></span></span>)</span></span>+<span>(<span>10+1</span>)</span></span></span><span>=<span><span><span><span>2<span>x3</span></span>+<span>4<span>x2</span></span></span>+<span>−<span>11x</span></span></span>+11</span></span>Answer:<span>=<span><span><span><span>2<span>x3</span></span>+<span>4<span>x2</span></span></span>−<span>11x</span></span>+<span>11
------------------------------------------------------------------------
answer two
</span></span></span>Let's simplify step-by-step.<span><span><span><span><span><span>9w</span>−<span>4<span>w2</span></span></span>+10</span>+<span>8<span>w2</span></span></span>+7</span>+<span>5w</span></span><span>=<span><span><span><span><span><span><span>9w</span>+</span>−<span>4<span>w2</span></span></span>+10</span>+<span>8<span>w2</span></span></span>+7</span>+<span>5w</span></span></span>Combine Like Terms:<span>=<span><span><span><span><span><span>9w</span>+<span>−<span>4<span>w2</span></span></span></span>+10</span>+<span>8<span>w2</span></span></span>+7</span>+<span>5w</span></span></span><span>=<span><span><span>(<span><span>−<span>4<span>w2</span></span></span>+<span>8<span>w2</span></span></span>)</span>+<span>(<span><span>9w</span>+<span>5w</span></span>)</span></span>+<span>(<span>10+7</span>)</span></span></span><span>=<span><span><span>4<span>w2</span></span>+<span>14w</span></span>+17</span></span>Answer:<span>=<span><span><span>4<span>w2</span></span>+<span>14w</span></span>+<span>17</span></span></span>
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