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Quiz 1
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The maximum number of zeroes that a polynomial of degree 4 can have is
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One
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Two
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Three
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Four
Explanation
Four
The graph of the polynomial p(x) = 3x - 2 is a straight line which intersects the x-axis at exactly one point namely
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(\(\frac{-2}{3}\), 0)
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(0, \(\frac{-2}{3}\))
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(\(\frac{2}{3}\), 0)
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(\(\frac{2}{3}\), \(\frac{-2}{3}\)
Explanation
(c) (\(\frac{2}{3}\), 0)
In fig. given below, the number of zeroes of the polynomial f(x) is
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1
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2
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3
0%
None
Explanation
3
The graph of the polynomial ax² + bx + c is an upward parabola if
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a > 0
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a = 0
Explanation
a > 0
The graph of the polynomial ax² + bx + c is a downward parabola if
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a > 0
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a < 0
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a = 0
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a = 1
Explanation
a < 0
A polynomial of degree 3 is called
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a linear polynomial
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a quadratic polynomial
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a cubic polynomial
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a biquadratic polynomial
Explanation
a cubic polynomial
If α, β are the zeroes of the polynomial x² - 16, then αβ(α + β) is
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0
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4
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-4
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16
Explanation
0
Zeroes of the polynomial x² - 11 are
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±\(\sqrt{17}\)
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±\(\sqrt{3}\)
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0
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None
Explanation
±\(\sqrt{17}\)
If α, β, γ are the zeroes of the cubic polynomial ax³ + bx² + cx + d then α + β + γ is equal
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\(\frac{-b}{a}\)
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\(\frac{b}{a}\)
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\(\frac{c}{a}\)
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\(\frac{d}{a}\)
Explanation
\(\frac{-b}{a}\)
If α, β, γ are the zeroes of the cubic polynomial ax³ + bx² + cx + d then αβ + βγ + αγ is equal to
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\(\frac{-b}{a}\)
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\(\frac{b}{a}\)
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\(\frac{c}{a}\)
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\(\frac{d}{a}\)
Explanation
\(\frac{c}{a}\)
If the zeroes of the polynomial x³ - 3x² + x - 1 are \(\frac{s}{t}\), s and st then value of s is
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1
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-1
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2
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-3
Explanation
1
If the sum of the zeroes of the polynomial f(x) = 2x³ - 3kx² + 4x - 5 is 6, then the value of k is
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2
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4
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-2
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-4
Explanation
4
If a polynomial of degree 4 is divided by quadratic polynomial, the degree of the remainder is
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≤ 1
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≥ 1
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2
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4
Explanation
≤ 1
If a - b, a and a + b are zeroes of the polynomial fix) = 2x³ - 6x² + 5x - 7, then value of a is
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1
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2
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-5
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7
Explanation
1
Dividend is equal to
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divisor × quotient + remainder
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divisior × quotient
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divisior × quotient - remainder
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divisor × quotient × remainder
Explanation
divisor × quotient + remainder
A quadratic polynomial whose sum of the zeroes is 2 and product is 1 is given by
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x² - 2x + 1
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x² + 2x + 1
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x² + 2x - 1
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x² - 2x - 1
Explanation
x² - 2x + 1
If one of the zeroes of a quadratic polynomial ax² + bx + c is 0, then the other zero is
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\(\frac{-b}{a}\)
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0
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\(\frac{b}{a}\)
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\(\frac{-c}{a}\)
Explanation
\(\frac{-b}{a}\)
The sum and the product of the zeroes of polynomial 6x² - 5 respectively are
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0, \(\frac{-6}{5}\)
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0, \(\frac{6}{5}\)
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0, \(\frac{5}{6}\)
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0, \(\frac{-5}{6}\)
Explanation
0, \(\frac{-5}{6}\)
What should be subtracted from x³ - 2x² + 4x + 1 to get 1?
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x³ - 2x² + 4x
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x³ - 2x² + 4 + 1
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-1
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1
Explanation
x³ - 2x² + 4x
Let polynomial $p(x)=x^2-(2+k)x+2k$. If x=3 is the zero ,then the value of k?
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3
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2
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1
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5
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