Polynomials Test

Result

Polynomials Test - 3

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Weekly Quiz Competition

Question 1
1 / -0

If the degree of the dividend is 5 and the degree of the divisor is 3, then the degree of the quotient will be

A
-2

B
1

C
0

D
2

Solution

Recall, f(x) = g(x) q(x) + r(x)

Given that degree of the dividend is 5 and the degree of the divisor is 3.

Degree of quotient is 5 - 3 = 2.
Question 2
1 / -0

The graph of the polynomial p(x) intersects the x-axis three times in distinct points, then which of the following could be an expression for p(x):

A
3x + 3

B
3x² + 3x - 3

C
x² - 9

D
4 - 4x - x² + x³

Solution

Since, the graph of the polynomial p(x) intersects the x-axis at three distinct points, it will have 3 distinct roots.

Hence, it will be a cubic polynomial.

Thus, amongst the given alternatives the polynomial p(x) can be 4 - 4x - x² + x³.