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Solved Examples
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B   Check if (x + 5) is a factor of the given polynomial 5x3 + x2 - 7x - 5.   B View Solution
B   Evaluate f(x) at x = 2, by synthetic division.
f(x) = x4 - 5x3 + 2x2 + 4x - 5   B
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B   Evaluate f(x) at x = -5, by synthetic division.
f(x ) = x3 - 3x2 + 2x + 3   B
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B   Check if (x - 8) is a factor of the given polynomial x3 + x2 - 64x - 64.   B View Solution
B   x + 3 is a factor of the polynomial x3 - 2x2 - 11x + 12. Find the other factors.   B View Solution
B   a + 5 is a factor of the polynomial 9a3 + 63a2 + 99a + 45. Find the other factors.   B View Solution
B   If y - 3 is a factor of the polynomial, then factor the polynomial, 9y3 - 27y2 - 16y + 48 completely.   B View Solution
B   If m + 6 is a factor of the polynomial, then factor m3 + 7m2 - 36 completely.   B View Solution
B   t + 7 and t - 8 are the factors of the polynomial, t4 - 2t3 - 85t2 + 86t + 1680. Factor the polynomial completely.   B View Solution
B   Which of the following is a polynomial whose factors are 6y - 1, y + 5 and y - 5?   B View Solution
B   Which of the following is a polynomial whose factors are y - 7, y + 10 and y - 8?   B View Solution
B   Choose the polynomial whose factors are c + 15 , c - 4 and c + 7.
   B
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B   Choose the polynomial whose factors are z - 14 , z + 4 and z - 4.
   B
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B   Choose the polynomial whose factors are b + 6, b - 26 and b + 26?   B View Solution
B   Check if (x - 9) is a factor of the given polynomial x3 + x2 - 81x - 81.   B View Solution
B   Check if (x + 10) is a factor of the given polynomial 10x3 + x2 - 7x - 10.   B View Solution
B   Evaluate f(x) at x = 4, by synthetic division.
f(x) = x4 - 4x3 + 5x2 + 4x - 9   B
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B   Evaluate f(x) at x = -5, by synthetic division.
f(x ) = x3 - 2x2 + 2x + 9   B
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B   x + 5 is a factor of the polynomial x3 - 8x2 - 35x + 150. Find the other factors.   B View Solution
B   a + 6 is a factor of the polynomial 64a3 + 464a2 + 505a + 150. Find the other factors.   B View Solution
B   If y - 5 is a factor of the polynomial, then factor the polynomial, 4y3 - 20y2 - 9y + 45 completely.   B View Solution
B   If m + 12 is a factor of the polynomial, then factor m3 + 13m2 - 144 completely.   B View Solution
B   t + 6 and t - 7 are the factors of the polynomial, t4 - 2t3 - 61t2 + 62t + 840. Factor the polynomial completely.   B View Solution
B   Which of the following is a polynomial whose factors are 3z - 1, z + 2 and z - 2?   B View Solution
B   Which of the following is a polynomial whose factors are x - 5, x + 6 and x - 4?   B View Solution
B   Choose the polynomial whose factors are a + 15 , a - 7 and a + 10.
   B
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B   Choose the polynomial whose factors are b - 12 , b + 5 and b - 5.
   B
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B   Choose the polynomial whose factors are y + 7, y - 37 and y + 37?   B View Solution
B   Write a polynomial whose factors are 2x + 3, x + i and x - i.   B View Solution
B   Write a polynomial whose factors are x + 2, x + 2i and x - 3i.   B View Solution
B   Alice expressed three consecutive odd integers in a distinct way. The product of the three integers is given by the polynomial x3 - 9x2 + 23x - 15. One of her integers is expressed as x - 3. Find the other expressions did Alice use for the other two integers.   B View Solution
B   Tim expresses the product of four numbers as x4 - 19x2 - 30x. Two numbers were represented by x and x + 2. Find the expressions that were used to represent the other two numbers.   B View Solution
B   x - 4i is a factor of the polynomial x3 + 3x2 + 16x + 48. Factor completely.  DD View Solution
DD  x - (4 - 3i)is a factor of the polynomial x³ - 10x² + 41x - 50. Factor completely.  DD View Solution
DD  The volume of a box is given by the expression (125x3 - 150x2 + 55x - 6) cm3. Its height is (5x - 2) cm. What expressions are used to represent the other two dimensions?  DD View Solution
DD  Is the first polynomial, a factor of the second polynomial? y - 5; y3 - 11y2 + 34y - 20  DD View Solution
DD  x - 2 and x - 4 are factors of x4 - 2x3 - 13x2 + 14x + 24. Find the other factors.  DD View Solution
DD  Write a polynomial with given factors: x + 2, x - 2, x + 3  DD View Solution
DD  If the product of three binomials is x3 + 3x2 - 10x - 24. If one is x + 2, what are the other two binomials?  DD View Solution
DD  Use the synthetic division, to find whether the first polynomial is a factor of the second polynomial and factor completely the second polynomial: x + 2i; x3 + 3x2 + 4x + 12  DD View Solution