The polynomial which when divided by −x² + x − 1 gives quotient x − 2 and remainder 3 Video Explanation Watch the video explanation below: Given Divisor = −x² + x − 1 Quotient = x − 2 Remainder = 3 To Find The dividend polynomial. Solution By the Division Algorithm: Dividend = (Divisor […]
The Polynomial Which When Divided by −x² + x − 1 Gives Quotient x − 2 and Remainder 3 Read More »
If x + 2 is a factor of x² + ax + 2b and a + b = 4, find the values of a and b Video Explanation Watch the video explanation below: Given Polynomial: f(x) = x² + ax + 2b x + 2 is a factor of f(x) a + b = 4
If x + 2 Is a Factor of x² + ax + 2b and a + b = 4, Find the Values of a and b Read More »
If √5 and −√5 are two zeroes of the polynomial x³ + 3x² − 5x − 15, find its third zero Video Explanation Watch the video explanation below: Given f(x) = x³ + 3x² − 5x − 15 Two zeroes of the polynomial are: √5 and −√5 To Find The third zero of the polynomial.
If √5 and −√5 Are Two Zeroes of the Polynomial x³ + 3x² − 5x − 15, Find Its Third Zero Read More »
If two zeroes of the polynomial x³ + x² − 9x − 9 are 3 and −3, find its third zero Video Explanation Watch the video explanation below: Given f(x) = x³ + x² − 9x − 9 Two zeroes of the polynomial are: 3 and −3 To Find The third zero of the polynomial.
If Two Zeroes of the Polynomial x³ + x² − 9x − 9 Are 3 and −3, Find Its Third Zero Read More »
A quadratic polynomial, the sum of whose zeroes is 0 and one zero is 3, is Video Explanation Watch the video explanation below: Given Sum of the zeroes = 0 One zero = 3 To Find The required quadratic polynomial. Solution Let the zeroes of the quadratic polynomial be: 3 and α Since the sum
A Quadratic Polynomial Whose Sum of Zeroes Is 0 and One Zero Is 3 Read More »
What should be subtracted from the polynomial x² − 16x + 30 so that 15 is the zero of the resulting polynomial? Video Explanation Watch the video explanation below: Given f(x) = x² − 16x + 30 To Find The number which should be subtracted from f(x) so that 15 becomes a zero. Solution If
What should be added to the polynomial x² − 5x + 4 so that 3 is the zero of the resulting polynomial? Video Explanation Watch the video explanation below: Given f(x) = x² − 5x + 4 To Find The number which should be added to f(x) so that 3 becomes a zero. Solution If
The product of the zeros of the polynomial x³ + 4x² + x − 6 Video Explanation Watch the video explanation below: Given f(x) = x³ + 4x² + x − 6 To Find The product of the zeros of the given polynomial. Solution For a cubic polynomial of the form: ax³ + bx² +
The Product of the Zeros of the Polynomial x³ + 4x² + x − 6 Read More »
If two zeros of the polynomial x³ + x² − 5x − 5 are √5 and −√5, find its third zero Video Explanation Watch the video explanation below: Given f(x) = x³ + x² − 5x − 5 Two zeros of the polynomial are: √5 and −√5 To Find The third zero of the polynomial.
If Two Zeros of the Polynomial x³ + x² − 5x − 5 Are √5 and −√5, Find Its Third Zero Read More »
If two of the zeros of the cubic polynomial ax³ + bx² + cx + d are each equal to zero, find the third zero Video Explanation Watch the video explanation below: Given f(x) = ax³ + bx² + cx + d Two of the zeros of the polynomial are: 0 and 0 To Find