Polynomials Test

Result

Polynomials Test - 5

Score
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Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
1 / -0

The value of 249² − 248² is

A
1

B
249

C
497

D
248

Solution

(249)²− (248)²

= (249 + 248) (249 - 248) [Using identity a²− b²= (a + b) (a − b)]

= 497 x 1

= 497
Question 2
1 / -0

If a + b + c = 0, then a³+ b³+ c³ is equal to

A
2abc

B
1

C
3abc

D
abc

Solution

If a + b + c = 0, then

a³+ b³+ c³ − 3abc = 0

=> a³+ b³+ c³ = 3abc
Question 3
1 / -0

(x + 1) is a factor of the polynomial

A
x⁴ + x³ + x² + 1

B
x³+ x²+ x + 1

C
x⁴+ 3x³+ 3x²+ x + 1

D
x³+ x²− x + 1

Solution

x³+ x²+ x + 1

= x³( x + 1) + 1 (x + 1)

= (x³+ 1) ( x + 1)