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arsen [322]
3 years ago
11

Which second degree polynomial function f(x) has a lead coefficient of 3 and roots 4 and 1?

Mathematics
2 answers:
Stella [2.4K]3 years ago
7 0

Answer:

f(x) = 3x² - 15x + 12

Step-by-step explanation:

Given f(x) has roots x = a and x = b, then

(x - a) and (x - b) are the factors

f(x) is then the product of the factors

f(x) = a(x - a)(x - b) ← where a is a multiplier

Given roots are x = 4 and x = 1, then

(x - 4) and (x - 1) are the factors

With a = 3, then

f(x) = 3(x - 4)(x - 1) ← expand factors using FOIL

     = 3(x² - 5x + 4) ← distribute

     = 3x² - 15x + 12

Sophie [7]3 years ago
5 0

Answer:

f(x) = 3x^2 - 15x + 12

Step-by-step explanation:

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3 years ago
Line DA is tangent to circle B. What is the measure of angle ACB?
alexdok [17]

A tangent line creates a 90 degree angle with a radius line that touches the tangent Line.

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6 0
3 years ago
Read 2 more answers
If m(x) = x^2 + 3 and n(x) = 5x + 9, which expression is equivalent to (mn)(x)?
eduard
(x^2 + 3)(5x + 9)
5x^3 + 9x^2 + 15x + 27
7 0
3 years ago
Solve for x.<br> JKL<br> 2x-4<br> 8<br> 16<br> 7<br> 56
mariarad [96]

you have to use intercept theorem, also known as Thales's theorem to slove this problem

7 0
2 years ago
ULT ma<br> 4. Write an expression, then evaluate.<br> a. 1/4of the sum of 18 and 6
OlgaM077 [116]

Answer: Required expression: \dfrac14\times(18+16)

Result: \dfrac{17}{2}

Step-by-step explanation:

Given phrase:  " \dfrac14\text{ of the sum of } 18\text{ and }6. "

Required expression: \dfrac14\times(18+16)    ['+' used to express sum, 'x' used in place of 'of']

Since 18+16 = 34

Then,

\dfrac14\times(18+16)=\dfrac14\times34  \\\\=\dfrac{1}{2}\times17\ \ \text{[Divide numerator and denominator by 2]}\\\\=\dfrac{17}{2}

Hence,     \dfrac14\times(18+16)=\dfrac{17}{2}.  

8 0
3 years ago
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