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Class - 10 - Mathematics - Polynomials - Test - 2

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1. If \( \alpha \) and \( \beta \) are zeroes of \( x^2+px+q \), then:

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2. If \( x+1 \) is a factor of \( x^3+ax^2-4x+3 \), then \( a \) is:

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3. The remainder when \( x^3-4x^2+7x-5 \) is divided by \( x-3 \) is:

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4. If the zeroes of \( x^2-kx+16 \) are equal, then \( k \) may be:

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5. Which of the following is a cubic polynomial?

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6. If \( p(x)=x^3-6x^2+11x-6 \), then which of the following is a zero of \( p(x) \)?

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7. If \( x-2 \) is a factor of \( 2x^3-3x^2+kx-4 \), then \( k \) is:

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8. If \( \alpha \) and \( \beta \) are the zeroes of \( 3x^2-5x-2 \), then \( \alpha+\beta \) is:

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9. The factorisation of \( x^2-9x+20 \) is:

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10. If \( \alpha \) and \( \beta \) are the zeroes of \( 4x^2+8x+3 \), then \( \alpha\beta \) is:

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11. If \( p(x)=x^2-5x+6 \), then the value of \( p(2)+p(3) \) is:

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12. If \( \alpha \) and \( \beta \) are the zeroes of \( x^2-7x+10 \), then \( \alpha^2+\beta^2 \) is:

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13. The degree of the polynomial \( 7x^5-3x^2+x^7-9 \) is:

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14. The polynomial whose zeroes are \( 3 \) and \( -5 \) is:

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15. The remainder when \( 2x^4-3x^3+x-7 \) is divided by \( x+1 \) is:

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