Question

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

Answer 1

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)

Answer 2

Let's simplify step-by-step. answer one 5x3+3x2−7x+10−(3x3−x2+4x−1)Distribute the Negative Sign:=5x3+3x2−7x+10+−1(3x3−x2+4x−1)=5x3+3x2+−7x+10+−1(3x3)+−1(−x2)+−1(4x)+(−1)(−1)=5x3+3x2+−7x+10+−3x3+x2+−4x+1Combine Like Terms:=5x3+3x2+−7x+10+−3x3+x2+−4x+1=(5x3+−3x3)+(3x2+x2)+(−7x+−4x)+(10+1)=2x3+4x2+−11x+11Answer:=2x3+4x2−11x+11
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answer two
Let's simplify step-by-step.9w−4w2+10+8w2+7+5w=9w+−4w2+10+8w2+7+5wCombine Like Terms:=9w+−4w2+10+8w2+7+5w=(−4w2+8w2)+(9w+5w)+(10+7)=4w2+14w+17Answer:=4w2+14w+17