Factor the expression 15x-^2-10x-5

2 answers:

8 0

$15x^2-10x-5=0\\ \\ a=15, \ \ b=-10 \ \ c=-5\\ \\ \Delta = b^{2}-4ac = (-10)^{2}-4* 15* (-5)= 100+300=400\\ \\x_{1}=\frac{-b-\sqrt{\Delta }}{2a} =\frac{10- \sqrt{400}}{2*15}=\frac{10-20}{30}= \frac{-10}{30}=-\frac{1}{3}\\ \\x_{2}=\frac{-b+\sqrt{\Delta }}{2a} =\frac{10+ \sqrt{400}}{2*15}=\frac{10+20}{30}= \frac{30}{30}=1 \\ \\ \ 15x^2-10x-5=15(x+ \frac{1}{3})(x-1)= (15x+ \frac{1}{3}*15)(x-1)=(15x+5)(x-1)\\ \\ Answer :15x^2-10x-5 =(15x+5)(x-1)$

slava [35]2 years ago

6 0

15x^2 - 10x - 5
(3x + 1) (5x - 5)

If it tells you to solve it, set each part in parentheses and solve. What you end up will be your 2 final answers.

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The correct option is A) A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on either side of the number line. The even numbers are labeled on either side of the number line. An arrow pointing from 0 to negative 6 is shown. Above this, another arrow pointing from negative 6 to negative 4 is shown. A vertical bar is shown at the tip of the arrowhead of the top arrow.

Step-by-step explanation:

Consider the provided expression.

−6 − (−2)

Open the parentheses and change the sign.

−6 − (−2)

−6 + 2

Subtract the numbers.

−4

Now draw this on number line.

First draw a number line is shown from −10 to 0 to 10. with scale of 2 unit on either side of the number line. Draw an arrow pointing from 0 to −6 Which show −6. Above this, another arrow pointing from −6 to −4 which shows −6 − (−2) = −4. A vertical bar is shown at the tip of the arrowhead of the top arrow.

The required number line is shown in the figure 1.

Hence, the correct option is A) A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on either side of the number line. The even numbers are labeled on either side of the number line. An arrow pointing from 0 to negative 6 is shown. Above this, another arrow pointing from negative 6 to negative 4 is shown. A vertical bar is shown at the tip of the arrowhead of the top arrow.