State True or False:
On subtracting $x^{3} - 4 x - 1$ from $3 x^{3} - x^{2} + 6$ , the answer is $2 x^{3} - x^{2} + 4 x + 7$ .

True

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False

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Solution

The correct option is A True
$W e c a n d i r e c t l y a d d t h e c o e f f i c i e n t s o f l i k e v a r i a b l e s, 3 x^{3} - x^{2} + 6 - (x^{3} - 4 x - 1) ⟹ (3 - 1) x^{3} + (- 1 + 0) x^{2} + (+ 4) x + (6 + 1) = 2 x^{3} - x^{2} + 4 x + 7$

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Similar questions

Q. State True or False:
On subtracting

- 3 x^{3} + 4 x^{2} - 5 x + 6

from

3 x^{3} - 4 x^{2} + 5 x - 6

, the answer is

6 x^{3} - 8 x^{2} + 10 x - 12

Q. Subtract

2 x^{3} - x^{2} + 4 x - 6

from

x^{3} + 5 x^{2} - 4 x + 6

State true or false.

After Subtracting

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

from

(2 x^{2} - 4 x^{3} + 4 x + 9)

we get

(- x^{3} + 3 x + 8)

$- x^{3} - 4 x^{2} + 9 x - 3$ must be subtracted from $x^{3} - 3 x^{2} + 5 x - 1$ to get $2 x^{3} + x^{2} - 4 x + 2$ . State true or false.

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

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State True or False:On subtracting x3−4x−1 from 3x3−x2+6, the answer is 2x3−x2+4x+7.

The correct option is A TrueWecandirectlyaddthecoefficientsoflikevariables,3x3−x2+6−(x3−4x−1)⟹(3−1)x3+(−1+0)x2+(+4)x+(6+1)=2x3−x2+4x+7

State True or False:
On subtracting $x^{3} - 4 x - 1$ from $3 x^{3} - x^{2} + 6$ , the answer is $2 x^{3} - x^{2} + 4 x + 7$ .

The correct option is A True
$W e c a n d i r e c t l y a d d t h e c o e f f i c i e n t s o f l i k e v a r i a b l e s, 3 x^{3} - x^{2} + 6 - (x^{3} - 4 x - 1) ⟹ (3 - 1) x^{3} + (- 1 + 0) x^{2} + (+ 4) x + (6 + 1) = 2 x^{3} - x^{2} + 4 x + 7$