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A real number α will be called the zero of the quadratic polynomial ax2+bx+c if  is equal to zero.

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Important Questions on Polynomials

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Every real number is a zero of the _____ polynomial.
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If a real number α is a zero of a polynomial fx, then x-α is a _____ of fx.
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A zero of the polynomial px=3x+4 is _____
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If 1 is a zero of the polynomial p(x)=ax2-3(a-1)x-1, then the value of a is _____?
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If (x-3) is a factor of x3-2x2+5kx+6, then what is the value of k is _____?
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A real number α is a zero of the polynomial fx if and only if fα= _____.
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A cubic polynomial one variable has a _____ zeroes.
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A linear polynomial has one and only one _____.

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If x-α is a factor of a polynomial fx, then α is a _____ of fx.
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Zeroes of the polynomial 2x2+8x+8 are _____ and -2.

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If (x+1) is a factor of x2-3ax+3a-7, then the value of a is _____?
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If one of the zeroes of quadratic polynomial is 5x2-kx+3(k-1) is -2, then find the value of k is _____.
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If the graph of a polynomial intersects the x-axis at three points, then it contains _____ zeroes.

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A non-zero constant polynomial has _____ zeroes.
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The zeroes of the polynomial  x2-64 are _____.

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A cubic polynomial can have at the most _____ zeroes.
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The value of the quadratic polynomial x2-5x+4 for  x=-1 is _____.

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A polynomial of degree n has at most _____  zeroes.

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For a polynomial y6 + 3y4 + y, the number of zeros are _____.
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If one of the zeroes of the polynomial x3-2x2-3kx-6 is -1, then the value of k is _____?