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Class - 10 - Mathematics - Polynomials - Test - 1
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1. The number of zeroes of a non-zero constant polynomial is:
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2. If \( p(x)=2x^2-3x+1 \), then \( p\left(\frac{1}{2}\right) \) is:
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3. If the product of zeroes of \( 5x^2-3x+m \) is \( 2 \), then \( m \) is:
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4. If the sum of zeroes of \( 2x^2-7x+k \) is \( \frac{7}{2} \), then this is:
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5. If \( \alpha \) and \( \beta \) are zeroes of \( x^2-4x+1 \), then \( \frac{1}{\alpha}+\frac{1}{\beta} \) is:
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6. If one zero of \( x^2-11x+30 \) is \( 5 \), the other zero is:
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7. The number of zeroes of the zero polynomial is:
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8. Which of the following is a factor of \( x^3+x^2-4x-4 \)?
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9. The value of \( k \), if \( x-1 \) is a factor of \( kx^2-3x+2 \), is:
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10. If \( \alpha \) and \( \beta \) are zeroes of \( x^2-6x+8 \), then \( (\alpha-\beta)^2 \) is:
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11. The zeroes of \( x^2-1 \) are:
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12. The polynomial \( x^3-27 \) can be factorised as:
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13. Which polynomial has zeroes \( -2 \) and \( 4 \)?
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14. If \( p(x)=x^3+3x^2-4x-12 \), then its complete factorisation is:
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15. If \( x^2+5x+6 \) is divided by \( x+2 \), the quotient is:
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