Multiply -7x-4x-2-2x-3-5- with nbsp-3x-2-6x-4-16x-3-29x-2-x-1-6x-4-16x-3-29x-2- 29x-10-6x-4-16x-3-27x-2-x-10-5x-4-16x-3-29x-2-x-10-

The correct option is B 6x^4 16x^3+29x^2 29x+10 (7x 4x^2+2x^3 5) nbsp; ×(3x 2)=3x(7x 4x^2+2x^3 5) 2(7x 4x^2+2x^3 5) = 21x^2 12x^3+6x^4 15x 14x+8x^2 4x^3+1 ...

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Byju's Answer

Standard VIII

Mathematics

Multiplication of Polynomials

Multiply (7x-...

Question

Multiply $(7 x - 4 x^{2} + 2 x^{3} - 5)$ with $(3 x - 2)$ .

$6 x^{4} - 16 x^{3} + 29 x^{2} - x + 1$

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$6 x^{4} - 16 x^{3} + 27 x^{2} - x + 10$

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$5 x^{4} - 16 x^{3} + 29 x^{2} - x + 10$

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$6 x^{4} - 16 x^{3} + 29 x^{2} - 29 x + 10$

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Solution

The correct option is D
$6 x^{4} - 16 x^{3} + 29 x^{2} - 29 x + 10$

$(7 x - 4 x^{2} + 2 x^{3} - 5) \times (3 x - 2) = 3 x (7 x - 4 x^{2} + 2 x^{3} - 5) - 2 (7 x - 4 x^{2} + 2 x^{3} - 5)$
= $21 x^{2} - 12 x^{3} + 6 x^{4} - 15 x - 14 x + 8 x^{2} - 4 x^{3} + 10$
= $6 x^{4} - 16 x^{3} + 29 x^{2} - 29 x + 10$

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Similar questions

Q. Question 1(vi)
Find the common factors of the terms

16 x^{3}, - 4 x^{2}, 32 x

Q. Factorize 16x³+54

Classify the following polynomials based on
their degree.

$x + \frac{1}{6}$
$x^{3} - x + x$
$2 x^{2} - \frac{4}{2} x^{2} + x$

Q. Factorize the following expression:

x^{5} - 16 x^{3}

The product of the common factors of 16 $x^{3}$ , -4 $x^{2}$ , $32 x$ is

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Multiply (7x−4x2+2x3−5) with (3x−2).

The correct option is D 6x4−16x3+29x2−29x+10 (7x−4x2+2x3−5)×(3x−2)=3x(7x−4x2+2x3−5)−2(7x−4x2+2x3−5) = 21x2−12x3+6x4−15x−14x+8x2−4x3+10 = 6x4−16x3+29x2−29x+10

Multiply $(7 x - 4 x^{2} + 2 x^{3} - 5)$ with $(3 x - 2)$ .