The value of 3x3-9x2-27x - 3x is a x2-9-27x b 3x3-3x2-27x c 3x3-9x2-9 d x2-3x-9

Name: EXEMP - Grade 08 - MATHEMATICS - Algebraic Expressions, Identities and Factorisation - Q31
Uploaded: 2022-07-04T10:36:42+05:30
Description: D) x^2+3x+9 →We have, (3x^3+9x^2+27x)÷3x=3x^3+9x^2+27x/3x=3x^3/3x+9x^2/3x+27x/3x=x^2+3x+9 ...

D) x^2+3x+9 →We have, (3x^3+9x^2+27x)÷3x=3x^3+9x^2+27x/3x=3x^3/3x+9x^2/3x+27x/3x=x^2+3x+9 ...

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Standard VIII

Mathematics

Division of a Polynomial by a Monomial

The value of ...

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Question 31

The value of $(3 x^{3} + 9 x^{2} + 27 x) \div 3 x$ is
a) $x^{2} + 9 + 27 x$
b) $3 x^{3} + 3 x^{2} + 27 x$
c) $3 x^{3} + 9 x^{2} + 9$
d) $x^{2} + 3 x + 9$

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Solution

d) $x^{2} + 3 x + 9$

$\to$ We have,
$(3 x^{3} + 9 x^{2} + 27 x) \div 3 x = \frac{3 x^{3} + 9 x^{2} + 27 x}{3 x} = \frac{3 x^{3}}{3 x} + \frac{9 x^{2}}{3 x} + \frac{27 x}{3 x} = x^{2} + 3 x + 9$

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Q. Question 31

The value of

(3 x^{3} + 9 x^{2} + 27 x) \div 3 x

is
a)

x^{2} + 9 + 27 x

3 x^{3} + 3 x^{2} + 27 x

3 x^{3} + 9 x^{2} + 9

x^{2} + 3 x + 9

lim x \to 1 \frac{x^{4} + 3 x^{3} - {13 x}^{2} - 27 x + 36}{x^{2} + 3 x - 4}

Question 24
Factorise
(i) $2 x^{3} - 3 x^{2} - 17 x + 30$

(ii) $x^{3} - 6 x^{2} + 11 x - 6$

(iii) $x^{3} + x^{2} - 4 x - 4$

(iv) $3 x^{3} - x^{2} - 3 x + 1$

Q. Solve the following equations:

x^{4} + \frac{8}{9} x^{2} + 1 = 3 x^{3} + 3 x

Q. 3x³ − x² − 3x + 1

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Division of a Polynomial by a Monomial

Standard VIII Mathematics

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Question 31 The value of (3x3+9x2+27x)÷3x is a) x2+9+27x b) 3x3+3x2+27x c) 3x3+9x2+9 d) x2+3x+9

d) x2+3x+9 →​​​​​​​We have, (3x3+9x2+27x)÷3x=3x3+9x2+27x3x=3x33x+9x23x+27x3x=x2+3x+9

Question 31

The value of $(3 x^{3} + 9 x^{2} + 27 x) \div 3 x$ is
a) $x^{2} + 9 + 27 x$
b) $3 x^{3} + 3 x^{2} + 27 x$
c) $3 x^{3} + 9 x^{2} + 9$
d) $x^{2} + 3 x + 9$

d) $x^{2} + 3 x + 9$

$\to$ We have,
$(3 x^{3} + 9 x^{2} + 27 x) \div 3 x = \frac{3 x^{3} + 9 x^{2} + 27 x}{3 x} = \frac{3 x^{3}}{3 x} + \frac{9 x^{2}}{3 x} + \frac{27 x}{3 x} = x^{2} + 3 x + 9$