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1 year ago

Write 10x7 – 9x2 + 15x3 + 9 in standard form. Question 5 options:

Mathematics

2 answers:

hjlf1 year ago

8 0

I think the answer is B

Gelneren [198K]1 year ago

6 0

Answer:

Option B.

Step-by-step explanation:

The given polynomial is

$10x^7-9x^2+15x^3+9$

In standard form of a polynomial, the terms are arranged according to its degree from left to right. It means term with highest degree should be on the left side.

Degree of $10x^7,-9x^2,15x^3\text{ and }9$ are 7, 2, 3 and 0.

Arrange the terms according to its degree.

$10x^7+15x^3-9x^2+9$

Hence, the correct option is B.

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1 year ago

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The solution to a quadric equation are x=2 and x=7. If k is a nonzero constant which of the following must be equal to the quadr

nikklg [1K]

Answer:

The quadratic equation form is x² - 9 x + 14 = 0

Step-by-step explanation:

Given in the question as ,

The solution of quadratic equation are x = 2 and x = 7

The constant K is a non-zero number

Now , let the quadratic equation be , ax² + bx + c = 0

And sum of roots = $\frac{ - b}{a}$

product of roots = $\frac{c}{a}$

So, 2 + 7 = $\frac{ - b}{a}$

Or, 2 × 7 = $\frac{c}{a}$

I.e $\frac{ - b}{a}$ = 9 , $\frac{c}{a}$ = 14

Or, b = - 9 a And c = 14 a

Put this value of b and c in standard form of quadratic equation

I.e ax² + bx + c = 0

Or, ax² - 9 ax + 14 a = 0

Or , a ( x² - 9 x + 14 ) = 0

∴ a = 0 And x² - 9 x + 14 = 0

Hence , The quadratic equation form is x² - 9 x + 14 = 0 Answer

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1 year ago