Polynomials

Determine the equation of the graph above. Do not use spaces.

Tags

CCSS.HSA.APR.B.3

If $\alpha$ and  $\beta$ are the zeroes of the quadratic polynomial  $p\left(x\right)=x^2-\left(k+6\right)x+2\left(2k-1\right)$ . Find the value of  $k$ , if  $\alpha+\beta=\frac{\alpha\beta}{2}.$  

• -8

• 8

• -7

• 7

Tags

CCSS.HSA.APR.B.3

What are the factors of this graph?

Tags

CCSS.HSA.APR.B.3

• y =  ^_(x + 2)(x - 1)²
• y = -(x - 2)(x + 1)²
• y = (x - 2)(x + 1)²
• y = -x³

Tags

CCSS.HSA.APR.B.3

Write the polynomial in standard form given the zeros, x=0, -2, 1

Tags

CCSS.HSA.APR.B.3

Which statement about k (x ) = -x ² -2x + 15 is true?

• The zeros are -3 and 5, because k (x) = - (x + 3)(x - 5)

• The zeros are -5 and 3, because k (x ) = - (x + 5)(x - 3).

• The zeros are -5 and -3, because k (x ) = - (x + 5)(x + 3)

• The zeros are 3 and 5, because k (x ) = - (x - 3)(x - 5).

Tags

CCSS.HSA.APR.B.3

Based on the zeros, which of the following could be the equation of the graph in factored form?

• $y=\left(x+1\right)\left(x+2\right)\left(x-2\right)$

• $y\ =\ x\left(2x+1\right)\left(2x-1\right)$

• $y=\ \left(x+2\right)\left(x-2\right)$

• $y\ =\ x\left(x+2\right)\left(x-2\right)$

Tags

CCSS.HSA.APR.B.3

SHOW ALL WORK

Write the polynomial in standard form from the following zeros.  x = -2, 1, 4

Tags

CCSS.HSA.APR.B.3

Form the function whose zeros are 7+3i and 7-3i

Tags

CCSS.HSA.APR.B.3

Write a polynomial with the given zeros

• 4x⁴ - 4x³
  +29x² -28x - 7

• 4x⁴ - 4x³ -27x² + 28x - 7

• 4x⁴ - 4x³
  +29x² -28x + 7

• 4x⁴ + 4x³ -27x² + 28x - 7

Tags

CCSS.HSA.APR.B.3