Polynomial Graph and Operation using Technology

Where does the graph of the function k(x) = x⁴-5x²-36 cross the x-axis?

hint:: Use the Desmos graph to determine all the real zeros by finding where the graph intersects the x-axis.

• x = 2, x = -2

• x = 2, x = -2, x = 3

• x = 2, x = -2, x = -3

• x = 3, x = -3

Tags

CCSS.HSF-IF.C.7C

Where does the graph of the function k(x) = x⁴ + 5x² - 36 cross the x-axis?

hint:: Use the Desmos graph to determine all the real zeros by finding where the graph intersects the x-axis.

• x = 2, x = -2

• x = 2, x = -2, x = 3

• x = 2, x = -2, x = -3

• x = 3, x = -3

A n engineer is using a polynomial function to model the strength of a certain type of metal, when subjected to pressure, measured in pounds per square inch. The equation below describes the polynomial function: P(x) = x⁴ - 13x² + 36

One of the zeros on the graph of the function is –2. What are the other zeros of the function? Choose all that are correct. (hint: use Desmos graph to find all other real zeros)

• 1

• -3

• 3

• 2

A n engineer is using a polynomial function to model the strength of a certain type of metal, when subjected to pressure, measured in pounds per square inch. The equation below describes the polynomial function: P(x) = x³+4x²-x-4

One of the zeros on the graph of the function is –1. What are the other zeros of the function? Choose all that are correct. (hint: use Desmos graph to find all other real zeros)

• 1

• -4

• 4

• 2

Which graph best represents to G(x) = x³-x²-4x+4?

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Which graph best represents to G(x) = x³-3x²-x+3?

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Tags

CCSS.HSA.APR.B.3

Find one factor of 4x² + 5x - 6?

(Hint: instead of solving for x, you use the Desmos graph to find all real zeros. Remember, if x = a, then the factor is x − a; if x = −a, then the factor is x + a.)

• x-4

• x-2

• x+2

• x+4

• x-3

Find one factor of 3x² - 2x - 8?

(Hint: instead of solving for x, you use the Desmos graph to find all real zeros. Remember, if x = a, then the factor is x − a; if x = −a, then the factor is x + a.)

• x-4

• x-2

• x+2

• x+4

• x-3

x² + 32x + 256 = (x + k)² which of the following is the value of k?

(Hint: use Desmos to graph the polynomial on the left hand side x² + 32x + 256 . You will see one real root on the x-axis, which is the value of k)

(a)  

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

x² + 26x + 169 = (x + w)² which of the following is the value of w?

(Hint: use Desmos to graph the polynomial on the left hand side x² + 32x + 256 . Youn will see one real root on the x-axis, which is the value of w)

(a)  

Tags

CCSS.HSA-REI.B.4B