Select one of the factors of 3x^2 + 10x + 3

Mathematics

1 answer:

taurus [48]3 years ago

6 0

For a polynomial of the form

ax2+bx+c

, rewrite the middle term as a sum of two terms whose product is a⋅c=3⋅3=9 and whose sum is

b=10.

3x2+x+9x+3

Factor out the greatest common factor from each group.

x(3x+1)+3(3x+1)

Factor the polynomial by factoring out the greatest common factor,

3x+1.(3x+1)(x+3)

Your answer is A.

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Quickly compute the following differences of squares. (a). 64^2 − 14^2 (b). 112^2 − 88^2 (c). 785^2 − 215^2

VikaD [51]

Answer:

(a) 3900

(b) 4800

Step-by-step explanation:

We have given

(a) $64^2-14^2$

We know the algebraic equation $a^2-b^2=(a+b)(a-b)$

So $64^2-14^2=(64+14)(64-14)=3900$

(b) We know the algebraic equation $a^2-b^2=(a+b)(a-b)$

$112^-88^2=(112+88)(112-88)=4800$

$785^2-215^2=(785+215)(785-215)=570000$

5 0

3 years ago

Can someone help with this step by step ty!

Alik [6]

Answer:

Area = 88 units squared

Perimeter = 40 units

Step-by-step explanation:

The formula for the Area of the parallelogram is base (11) times height (8)

The perimeter is just adding all the outsides together (11 + 11 + 9 + 9)

7 0

3 years ago

The quotient of

vova2212 [387]

$\displaystyle{ \frac{y^2-16}{4y-16} \div \frac{y+4}{16y}= \frac{y^2-16}{4y-16}\cdot\frac{16y}{y+4}\\\\$

$\displaystyle{ = \frac{y^2-4^2}{4(y-4)} \cdot\frac{16y}{y+4}= \frac{(y-4)(y+4)}{4(y-4)}\cdot\frac{16y}{y+4} = \frac{16y}{4}=4y$

Answer: 4y

Remark: $y^2-4^2=(y-4)(y+4)$ by the difference of squares identity, or formula.