Find the following product- x2-5x- 8 - x2-2x -3

The correct option is A x^4 3x^3 5x^2+31x 24 Given (x^2 5x+ 8) × (x^2+2x 3) Multiplying each term of the second polynomial with the first, we get: ...

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Standard VIII

Mathematics

Multiplication of Any Polynomial

Find the foll...

Question

Find the following product: $(x^{2} - 5 x + 8) \times (x^{2} + 2 x - 3)$

2 x^{4} - 3 x^{2} - x^{2} + 31 x + 24

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x^{4} - 3 x^{3} - 5 x^{2} - 31 x - 24

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x^{4} - 3 x^{3} - 5 x^{2} + 31 x - 24

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2 x^{4} - 3 x^{3} - x^{2} + 31 x - 24

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Solution

The correct option is A $x^{4} - 3 x^{3} - 5 x^{2} + 31 x - 24$
Given $(x^{2} - 5 x + 8) \times (x^{2} + 2 x - 3)$

Multiplying each term of the second polynomial with the first, we get:
$x^{2} (x^{2} - 5 x + 8) + 2 x (x^{2} - 5 x + 8) - 3 (x^{2} - 5 x + 8)$
$= x^{4} - 5 x^{3} + 8 x^{2} + 2 x^{3} - 10 x^{2} + 16 x - 3 x^{2} + 15 x - 24$
$= x^{4} - 3 x^{3} - 5 x^{2} + 31 x - 24$

Hence, $(x^{2} - 5 x + 8) \times (x^{2} + 2 x - 3) = x^{4} - 3 x^{3} - 5 x^{2} + 31 x - 24$

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Similar questions

Q. What must be subtracted from

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

to get

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

Answer:

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

Q. The GCD of

x^{4} + 3 x^{3} + 5 x^{2} + 26 x + 56

and

x^{4} + 2 x^{3} - 4 x^{2} - x + 28

x^{2} + 5 x + 7

.
Find their LCM.

The second degree factors of x⁴ – 5x² - 24 are

Q. The value of

b

so that

x^{4} - 3 x^{3} + 5 x^{2} - 33 x + b

is divisible by

x^{2} - 5 x + 6

, is:

Q. Factorise:
28 − 31x − 5x²

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Find the following product: (x2−5x+8)×(x2+2x−3)

Find the following product: $(x^{2} - 5 x + 8) \times (x^{2} + 2 x - 3)$