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2 years ago

A cubic polynomial with zeros at -2, 1, and 4 passes through (2, -56). What is the

Mathematics

1 answer:

victus00 [196]2 years ago

3 0

Answer:

6, -5 and 6. Assume the leading coefficient of f(x) is 1. Write the equation of the cubic polynomial in standard form.

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Factor 16x^2 + 49. Check your work.

Shtirlitz [24]

Answer:

$16x^2+49=(x-\frac{7i}{4})(x+\frac{7i}{4})$

Step-by-step explanation:

Given : Expression $16x^2+49$

To find : Factor the expression ?

Solution :

The given expression is a quadratic function $y=ax^2+bx+c$ the solution is $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

On comparing with general form,

a=16, b=0, c=49

Substitute in the formula,

$x=\frac{-0\pm\sqrt{0^2-4(16)(49)}}{2(16)}$

$x=\frac{\pm\sqrt{-3136}}{32}$

$x=\frac{\pm56i}{32}$

$x=\frac{56i}{32},\frac{-56i}{32}$

$x=\frac{7i}{4},\frac{-7i}{4}$

Factors are $(x-\frac{7i}{4}),(x+\frac{7i}{4})$

Therefore, $16x^2+49=(x-\frac{7i}{4})(x+\frac{7i}{4})$

4 0

3 years ago

Which statements is true

melamori03 [73]

All squares are rectangles
all squares are rhombuses

6 0

3 years ago

Read 2 more answers

What is the area of this figure?

umka21 [38]

137.5 I took the test and got 100%

3 0

2 years ago

Read 2 more answers

Solve both! For x |X + 2| > 5 |X + 2| < 5

NISA [10]

Answer:

Your Answer is ...

x > 3 or x < -7

Step-by-step explanation:

1. x > 3 worked out

|X + 2| > 5

Solve absolute Value

|X + 2| > 5

We know either |X + 2| > 5 or x + 2 < - 5

_________________________________

$x + 2 > 5\\x + 2 - 2 > 5 - 2 (Subtract ~2~ from~Both~sides)\\ x >3$

2. x < -7 Worked out

$x + 2 < - 5\\x+2-2>5-2 (Subtract~2~from~Both~sides)\\x$

Hope this Helps!

Take Care!

$-Jay-$

4 0

2 years ago

Tom buys a shirt for $22.00 plus 7% sales tax. His cousin buys a shirt for $18.00 plus 4% sales tax. a. How much do Tom and his

likoan [24]

Tom is spending more on tax totaling 23.54
while his cousin is only spending 18.72

How to get tax with percent take base price ex:22+ 7%

transform percent into a decimal : .07

now multiply the decimal times base price : 22x0.07

tax is a $1.54 now add that to your base price 22

and you get your total $23.54

4 0

2 years ago