The expression that should be subtracted from the polynomial f(x) = x^{4} + 2x^{3}13x^{2} – 12x + 21 so that the resulting polynomial is exactly divisible by g(x) = x^{2} – 4x + 3 is
If (x + 1) is a factor of x^{2} – 3ax + 3a – 7, then the value of a is
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The value of quadratic polynomial f (x) = 2x^{2}– 3x 2 at x = 2 is ……
If the degree of the dividend is 5 and the degree of the divisor is 3, then the degree of the quotient will be
On dividing f(x) = x^{3} – 3x^{2} + x + 2 by a polynomial g(x) the quotient and remainder q(x) and r(x) are (x – 2) and (2x + 4) respectively, then g(x) is
The three zeroes of the polynomial 2x^{3} + 5x^{2} – 28x – 15 _____
If two of the zeroes of the polynomial f (x) = x^{4} – 3x^{3} – x^{2} + 9x – 6 are √3 and √3 then all the zeroes are
If (x + 1) is a factor of 2x^{3} + ax^{2} + 2bx + 1, then find the values of a and b given that 2a – 3b = 4.
Which of the given is the set of zeroes of the polynomial p(x) = 2x^{3} + x^{2} – 5x + 2
The value of p when x^{3} + 9x^{2} + px – 10 is exactly divisible by (x+ 2) is ____
When the polynomial f(x) = 4x^{3} + 8x^{2} + 8x + 7 is divided by the polynomial g(x) = 2x^{2} – x + 1, the quotient and the remainder are
When x^{2} – 2x + k divides the polynomial x^{4} – 6x^{3} + 16x^{2} – 25x + 10, the remainder is (x + a). The value of a is _________
If the degree of the divisor g(x) is one then the degree of the remainder r(x) is
If the polynomial (2x + 3) is a factor of the polynomial 2x^{3} + 9x^{2} – x – b. The value of b is_______
If two of the zeros of the polynomial x^{4} – 17x^{3} + 90x^{2} – 166x + 92 are (7 + √3) and (7 – √3), then the other two zeros are _________
If f(x) is divided by g(x), g(x) ≠ 0, then there exist two polynomials q(x) and r(x) such that
The expression that should be added to the polynomial f(x) = x^{4} + 2x^{3} – 2x^{2} + x + 1, so that it should be exactly divisible by (x^{2} + 2x – 3) is
When x^{3} – 3x^{2} + 5x – 3 is divided by x^{2} – k , the remainder is 7x + a . Then the value of k is_____
If two zeroes of a polynomial 4x^{4} 20x^{3} +23 x^{2} + 5x – 6 are ½ and – ½, the how many more zeroes does it have?
518 tests

518 tests
