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Multiplication of Any Polynomial

Coefficient o...

Question

Coefficient of $x^{2}$ in $(2 x^{5}) (2 x^{2} - 3 x + 1)$

A

4

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B

- 6

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C

2

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D

0

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Solution

The correct option is D $0$
After simplifying, the equation becomes $4 x^{7} - 6 x^{6} + 2 x^{5}$ .
There is no $x^{2}$ in this polynomial.
Therefore, the coefficient of $x^{2}$ is 0.

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Similar questions

The coefficient of x² in (7x - 5)(5x² - 3x + 1) is .

Q. Find the discriminant of the following quadratic equations and discuss the nature of the roots .
1.

6 x^{2} - 13 x + 6 = 0

\sqrt{6} x^{2} - 5 x + \sqrt{6} = 0

24 x^{2} - 17 x + 3 = 0

x^{2} + 2 x + 4 = 0

x^{2} + x + 1 = 0

x^{2} - 3 \sqrt{3} x - 30 = 0

Q. Match the elements of the list I, which contains inequalities, with the elements of list II, which has solution sets.

List-I (Inequality)	List-II (Solution set)
A) $x^{2} - 4 x + 3 > 0$	1) $(3, 4)$
B) $x^{2} - 5 x + 6 \leq 0$	2) $(- 1, 1) \cup (2, 4)$
C) $x^{2} + 6 x - 27 > 0, - x^{2} + 3 x + 4 > 0$	3) $(- \infty, 1) \cup (3, \infty)$
D) $x^{2} - 3 x - 4 < 0, x^{2} - 3 x + 2 > 0$	4) $[3, 4]$
	5) $[2, 3]$

Then the correct order for A B C D, is

Q. Question 4
Write the coefficient of

x^{2}

in each of the following:

(i)

\frac{π}{6} x + x^{2} - 1

3 x - 5

(x - 1) (3 x - 4)

(2 x - 5) (2 x^{2} - 3 x + 1)

Q. Question 4
Write the coefficient of

x^{2}

in each of the following:

(i)

\frac{π}{6} x + x^{2} - 1

3 x - 5

(x - 1) (3 x - 4)

(2 x - 5) (2 x^{2} - 3 x + 1)

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