Find the sum of the following polynomials and write the degree of the sum so obtained.
$2 x^{3} - 7 x^{2} + 3 x + 4; 2 x^{3} - 3 x^{2} + 4 x + 1$

5

, degree 0.

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4

, degree 0.

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4 x^{3} - 10 x^{2} + 7 x + 5

, degree 3.

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7 x + 5

, degree 1.

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Solution

The correct option is C $4 x^{3} - 10 x^{2} + 7 x + 5$ , degree 3.
$(2 x^{3} - 7 x^{2} + 3 x + 4) + (2 x^{3} - 3 x^{2} + 4 x + 1)$
$= 2 x^{3} + 2 x^{3} - 7 x^{2} - 3 x^{2} + 3 x + 4 x + 4 + 1$

$= 4 x^{3} - 10 x^{2} + 7 x + 5$ and Degree is $3$

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Similar questions

Find the sum of the following polynomials and write the degree of the sum so obtained

(i) 2x³ $-$ 7x² + 3x + 4 ; 2x³ $-$ 3x² + 4x + 1
(ii) 3x² + 5x $-$ x⁷ ; $-$ 3x² + 5x + 8
(iii) x⁴ + 5x³ + 7x ; 4x³ $-$ 3x² + 5
(iv) y² + 2y $-$ 5 ; y³ + 2y² + 3y + 4 ; y³ + 7y $-$ 2
(v) 5m² + 3m + 8 ; m³ $-$ 6m² + 4m ; m³ $-$ m² $-$ m + 5

Q. What is the degree of the polynomial

\frac{7 x^{2} + 2 x^{5} + 4 x}{3 x} ?

Q. Write the degree of each of the following polynomials:
(i)

5 x^{3} + 4 x^{2} + 7 x

(ii)

4 - y^{2}

Q. Find the degree of the polynomial expression

7 x^{5} + 2 x^{4} + 6 x^{8}

Q. State the degree of the polynomial

9 x^{3} - 7 x^{2} + \frac{5}{3} {(\frac{x^{2}}{2})}^{3}

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Find the sum of the following polynomials and write the degree of the sum so obtained.2x3−7x2+3x+4;2x3−3x2+4x+1

The correct option is C 4x3−10x2+7x+5, degree 3. (2x3−7x2+3x+4)+(2x3−3x2+4x+1) =2x3+2x3−7x2−3x2+3x+4x+4+1=4x3−10x2+7x+5 and Degree is 3

Find the sum of the following polynomials and write the degree of the sum so obtained.
$2 x^{3} - 7 x^{2} + 3 x + 4; 2 x^{3} - 3 x^{2} + 4 x + 1$

The correct option is C $4 x^{3} - 10 x^{2} + 7 x + 5$ , degree 3.
$(2 x^{3} - 7 x^{2} + 3 x + 4) + (2 x^{3} - 3 x^{2} + 4 x + 1)$
$= 2 x^{3} + 2 x^{3} - 7 x^{2} - 3 x^{2} + 3 x + 4 x + 4 + 1$

$= 4 x^{3} - 10 x^{2} + 7 x + 5$ and Degree is $3$