Write polynomial functions given its roots

Write a polynomial function of least degree with integral coefficients and have zeros 2, 1, -1.

• x³ - 2x² - x + 2

• x³ + 2x² - x + 2

• x³ - 2x² - x - 2

• x³ - 2x² + x + 2

Tags

CCSS.HSA.APR.B.3

Write a polynomial function of least degree with integral coefficients and have zeros 4, - 1, 6

• x³ + 9x² + 14x + 24

• x³ - 9x² + 14x - 24

• x³ - 9x² + 14x + 24

• x³ - 9x² - 14x + 24

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

Write a polynomial function of least degree with integral coefficients and have zeros 3, - 1, 1, 2

• x⁴ - 5x³ + 5x² + 5x - 6

• x⁴ + 5x³ + 5x² + 5x - 6

• x⁴ - 5x³ - 5x² + 5x - 6

• x⁴ - 5x³ + 5x² + 5x + 6

Tags

CCSS.HSA.APR.B.3

Write a polynomial function of least degree with integral coefficients and have zeros 2, - 2, 3, - 4

• x⁴ + x³ - 8x² - 4x + 48

• x⁴ + x³ - 16x² - 4x + 48

• x⁴ + x³ - 8x² + 4x - 48

• x⁴ + x³ - 16x² - 4x - 48

Tags

CCSS.HSA.APR.B.3

Write a polynomial function of least degree with integral coefficients and have zeros -2, 5, -3i, 3i

• x⁴ + 3x³ - x² - 27x - 90

• x⁴ - 3x³ - x² - 27x - 90

• x⁴ - 3x³ - x² - 27x + 90

• x⁴ - 3x³ + x² - 27x - 90

Tags

CCSS.HSA.APR.B.3

CCSS.HSN.CN.A.1

Write a polynomial function of least degree with integral coefficients and have zeros 4, -4, i, -i

• x⁴ - 15x² + 16

• x³ - 15x² - 16

• x⁴ - 15x² - 16

• x⁴ -17x² - 16

Tags

CCSS.HSA.APR.B.3

Write a polynomial function of least degree with integral coefficients and have zeros - 4, 4 + i, 4 - i

• x³ - 4x² - 15x + 68

• x³ + 4x² - 15x + 68

• x³ - 4x² - 15x - 68

• x³ - 4x² + 15x + 68

Tags

CCSS.HSA.APR.B.3

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

Write a polynomial function of least degree with integral coefficients and have zeros -3, 1, 2i, -2i

• x⁴ - 2x³ + x² + 8x - 12

• x⁴ + 2x³ + x² - 8x - 12

• x⁴ + 2x³ + x² + 8x - 12

• x⁴ + 2x³ + x² + 8x + 12

Tags

CCSS.HSA.APR.B.3

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

Write a polynomial function of least degree with integral coefficients and have zeros - 2, 2, 3 - i, 3 + i

• x⁴ + 6x³ + 6x² + 24x - 40

• x⁴ - 6x³ + 6x² + 24x - 40

• x⁴ - 6x³ - 6x² + 24x - 40

• x⁴ - 6x³ + 6x² + 24x + 40

Tags

CCSS.HSA.APR.B.3

CCSS.HSN.CN.A.1

Write a polynomial function of least degree with integral coefficients and have zeros - 5, 4, 4 - i, 4 + i

• x⁴ - 7x³ + 45x² + 177x - 340

• x⁴ - 7x³ + 45x² + 177x + 340

• x⁴ - 7x³ - 11x² + 177x - 340

• x⁴ - 7x³ - 11x² + 177x + 340

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

CCSS.HSN.CN.A.1