Find the sum of the following polynomials :

$x^{4} + 5 x^{3} + 7 x; 4 x^{3} - 3 x^{2} + 5$

9 x^{3} - 3 x^{2} + 7 x + 5

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x^{4} + 9 x^{3} - 3 x^{2} + 7 x + 5

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

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x^{4} + 9 x^{3} - 3 x^{2} + 5

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Solution

The correct option is B $x^{4} + 9 x^{3} - 3 x^{2} + 7 x + 5$
$(x^{4} + 5 x^{3} + 7 x) + (4 x^{3} - 3 x^{2} + 5)$

$= x^{4} + 5 x^{3} + 4 x^{3} - 3 x^{2} + 7 x + 5$

$= x^{4} + 9 x^{3} - 3 x^{2} + 7 x + 5$

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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

Divide: $f (x) = 9 x^{3} - 3 x^{2} + x - 5$ by $g (x) = x - \frac{2}{3}$

Q. State the degree of the polynomial

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

Q. Divide:

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

x^{2} + 5

Solve for the value of $x$ : $\sqrt{{3 x}^{2} - 7 x - 30} - \sqrt{{2 x}^{2} - 7 x - 5} = x - 5$

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Find the sum of the following polynomials :x4+5x3+7x;4x3−3x2+5

The correct option is B x4+9x3−3x2+7x+5 (x4+5x3+7x)+(4x3−3x2+5) =x4+5x3+4x3−3x2+7x+5 =x4+9x3−3x2+7x+5

Find the sum of the following polynomials :

$x^{4} + 5 x^{3} + 7 x; 4 x^{3} - 3 x^{2} + 5$

The correct option is B $x^{4} + 9 x^{3} - 3 x^{2} + 7 x + 5$
$(x^{4} + 5 x^{3} + 7 x) + (4 x^{3} - 3 x^{2} + 5)$

$= x^{4} + 5 x^{3} + 4 x^{3} - 3 x^{2} + 7 x + 5$

$= x^{4} + 9 x^{3} - 3 x^{2} + 7 x + 5$