If the polynomial f(x) = x^{2 }+ kx  15, is exactly divisible by x  5, then the value of k is _______
The real number that should be subtracted from the polynomial f(x) = 15x^{5 }+ 70x^{4 }+ 35x^{3 } 135x^{2 } 40x  11 so that it is exactly divisible by 5x^{4 }+ 10x^{3 } 15x^{2 } 5x is ____________
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The polynomial (x), if the divisor is 5x^{2}, quotient is 2x + 3, and remainder is 10x + 20 is __________
What will be the value of a and b if the polynomial f(x) = 30x^{4 } 50x^{3 }+ 109x^{2 } 23x + 25, when divided by 3x^{2 } 5x + 10, gives 10x^{2 }+ 3 as quotient and ax + b as remainder?
If α is a zero of the polynomial f(x), then the divisor of f(x) will be _________
What real number that should be added to the polynomial f(x) = 81x^{2 } 31, so that it is exactly divisible by 9x + 1?
When a polynomial f(x) = acx^{3 }+ bcx + d, is divided by g(x), it leaves quotient as cx, and remainder as d. The value of g(x)will be _____
The quotient if the polynomial f(x) = 50x^{2 } 90x  25 leaves a remainder of 5, when divided by 5x  10, will be __________
If two of the zeros of the polynomial f(x) = x^{3 }+ (6  √3)x^{2 }+ (1  √3)x + 30  6√3 are 3 and 2 then, the other zero will be ____________
If f(x) is divided by g(x), it gives quotient as q(x) and remainder as r(x). Then, f(x) = q(x) × g(x) + r(x) where, f(x) is the dividend, q(x) is the quotient, g(x) is the divisor and r(x) is the remainder.
185 videos124 docs75 tests

185 videos124 docs75 tests
