All categories

2 years ago

Factor x³ + x² + x + 1 by grouping. What is the resulting expression?

Mathematics

1 answer:

vladimir1956 [14]2 years ago

4 0

<h3>Answer: (x² + 1)(x + 1)</h3>

Work Shown:

x³ + x² + x + 1

(x³ + x²) + (x + 1)

x²(x+1) + 1(x + 1)

(x² + 1)(x + 1)

The basic outline is to pair up the terms into two groups. We factor each group separately, and then factor out the overall GCF (x+1). You can use the FOIL rule to verify the answer.

You might be interested in

Find the energy required to lift 110 lb a distance of 35 ft.<br><br>?

professor190 [17]

The energy required is the product of force and distance. In foot-pounds, it is ...

... (110 lb) × (35 ft) = 3850 ft·lb

8 0

3 years ago

Read 2 more answers

Use the Factor Theorem to find ALL zeros of f(x) = x^3 - x^2 - 11x + 15, given that 3 is a zero. Show all work and express zeros

ELEN [110]

Answer:

Step-by-step explanation:

by synthetic division

3) 1 -1 -11 15

| 3 6 -15 (add)

____________

1 2 -5 |0

x²+2x-5=0

$x=\frac{-2 \pm\sqrt{2^{2} -4*1*-5} }{2*1} \\or~x=\frac{-2 \pm\sqrt{4+20} }{2} \\or~x=\frac{-2 \pm2\sqrt{6} }{2} \\or ~x=-1 \pm \sqrt{6}$

5 0

3 years ago

Activity 5: COMPARE US! Write an inequality relating the given pair of angles or segment measures. Complete each statement by ch

Shalnov [3]

Answer:

1. LM < PN

2. AD < DC

3. m<CAB < m<CBA

4. m<1 = m<2

Step-by-step explanation:

Recall: an angle measure is relative to the length of the opposite side. That is, the longer the side opposite to an angle, the larger the measure of that angle and vice versa.

1. LM is opposite to <LNM,

PN is opposite to <NLP

m<LNM is less than m<NLP, therefore,

LM < PN

2. AD is opposite to <ABD

DC is opposite to <DBC

m<ABD is less than m<DBC, therefore,

AD < DC

3. m<CAB is opposite to CB

m<CBA is opposite to CA

CB is less than CA, therefore,

m<CAB < m<CBA