Find the sum of the following polynomials:
$5 m^{2} + 3 m + 8; m^{3} - 6 m^{2} + 4 m; m^{3} - m^{2} - m + 5$

2 m^{3} - 2 m^{2} + 6 m + 13

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m^{2} - 2 m + 13

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2 m^{3} - m^{2} + 7 m + 1

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m^{3} - 2 m^{2} + 2 m + 13

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Solution

The correct option is B $2 m^{3} - 2 m^{2} + 6 m + 13$
$(5 m^{2} + 3 m + 8) + (m^{3} - 6 m^{2} + 4 m) + (m^{3} - m^{2} - m + 5)$

$= m^{3} + m^{3} + 5 m^{2} - 6 m^{2} - m^{2} + 3 m - m + 8 + 5$

$= 2 m^{3} - 2 m^{2} + 6 m + 13$

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Similar questions

Q. Multiply the following polynomials .

(m^{3} + 2 m + 3) (m^{3} - 2 m^{2} + 3 m + 2)

Multiply the following polynomials.

(i) (m³

-

2m + 3)(m⁴

-

2m²+ 3m + 2)

(ii) (5m³

-

2)(m²

-

m + 3)

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

Evaluate: $(2 m^{3} + m^{2} + m + 9) \div (2 m - 1)$

Q. Solve :

(2 m^{3} + m^{2} + m + 9) \div (2 m - 1)

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Find the sum of the following polynomials:5m2+3m+8;m3−6m2+4m;m3−m2−m+5

The correct option is B 2m3−2m2+6m+13 (5m2+3m+8)+(m3−6m2+4m)+(m3−m2−m+5) =m3+m3+5m2−6m2−m2+3m−m+8+5 =2m3−2m2+6m+13

Find the sum of the following polynomials:
$5 m^{2} + 3 m + 8; m^{3} - 6 m^{2} + 4 m; m^{3} - m^{2} - m + 5$

The correct option is B $2 m^{3} - 2 m^{2} + 6 m + 13$
$(5 m^{2} + 3 m + 8) + (m^{3} - 6 m^{2} + 4 m) + (m^{3} - m^{2} - m + 5)$

$= m^{3} + m^{3} + 5 m^{2} - 6 m^{2} - m^{2} + 3 m - m + 8 + 5$

$= 2 m^{3} - 2 m^{2} + 6 m + 13$