Chapter 1

Solve each equation in Exercises \(1-14\) by factoring. $$x^{2}-3 x-10=0$$

Express interval in set-builder notation and graph the interval on a number line. \((1,6]\)

Add or subtract as indicated and write the result in standard form. $$ (7+2 i)+(1-4 i) $$

Solve each polynomial equation by factoring and then using the zero-product principle. $$3 x^{4}-48 x^{2}=0$$

Use the five-step strategy for solving word problems to find the number or numbers described in Exercises \(1-10\). When five times a number is decreased by \(4,\) the result is 26 What is the number?

Plot the given point in a rectangular coordinate system. $$ (1,4) $$

Solve each equation in Exercises \(1-14\) by factoring. $$x^{2}-13 x+36=0$$

Express interval in set-builder notation and graph the interval on a number line. \((-2,4]\)

Add or subtract as indicated and write the result in standard form. $$ (-2+6 i)+(4-i) $$

Solve each polynomial equation by factoring and then using the zero-product principle. $$5 x^{4}-20 x^{2}-0$$

Plot the given point in a rectangular coordinate system. $$ (2,5) $$

Use the five-step strategy for solving word problems to find the number or numbers described in Exercises \(1-10\). When two times a number is decreased by \(3,\) the result is 11 What is the number?

solve and check each linear equation. $$ 11 x-(6 x-5)-40 $$

Solve each equation in Exercises \(1-14\) by factoring. $$x^{2}=8 x-15$$

Express interval in set-builder notation and graph the interval on a number line. \([-5,2)\)

Add or subtract as indicated and write the result in standard form. $$ (3+2 i)-(5-7 i) $$

When a number is decreased by \(20 \%\) of itself, the result is 20 . What is the number?

Solve each polynomial equation by factoring and then using the zero-product principle. $$3 x^{3}+2 x^{2}-12 x+8$$

Plot the given point in a rectangular coordinate system. $$ (-2,3) $$

solve and check each linear equation. $$ 5 x-(2 x-10)-35 $$

Solve each equation in Exercises \(1-14\) by factoring. $$x^{2}=-11 x-10$$

Express interval in set-builder notation and graph the interval on a number line. \([-4,3)\)

Add or subtract as indicated and write the result in standard form. $$ (-7+5 i)-(-9-11 i) $$

When a number is decreased by \(30 \%\) of itself, the result is 28 . What is the number?

Solve each polynomial equation by factoring and then using the zero-product principle. $$4 x^{3}-12 x^{2}-9 x-27$$

Plot the given point in a rectangular coordinate system. $$ (-1,4) $$

Solve each equation in Exercises \(1-14\) by factoring. $$6 x^{2}+11 x-10=0$$

Express interval in set-builder notation and graph the interval on a number line. \([-3,1]\)

Add or subtract as indicated and write the result in standard form. $$ 6-(-5+4 i)-(-13-i) $$

When \(60 \%\) of a number is added to the number, the result is \(192 .\) What is the number?

Solve each polynomial equation by factoring and then using the zero-product principle. $$2 x-3-8 x^{3}-12 x^{2}$$

Plot the given point in a rectangular coordinate system. $$ (-3,-5) $$

Solve each equation in Exercises \(1-14\) by factoring. $$9 x^{2}+9 x+2=0$$

Express interval in set-builder notation and graph the interval on a number line. \([-2,5]\)

When \(80 \%\) of a number is added to the number, the result is 252 . What is the number? \(70 \%\) of what number is \(224 ?\)

Add or subtract as indicated and write the result in standard form. $$ 7-(-9+2 i)-(-17-i) $$

Solve each polynomial equation by factoring and then using the zero-product principle. $$x+1-9 x^{3}+9 x^{2}$$

Plot the given point in a rectangular coordinate system. $$ (-4,-2) $$

Solve each equation in Exercises \(1-14\) by factoring. $$3 x^{2}-2 x=8$$

Express interval in set-builder notation and graph the interval on a number line. \((2, \infty)\)

Add or subtract as indicated and write the result in standard form. $$ 8 i-(14-9 i) $$

\(70 \%\) of what number is \(224 ?\)

Plot the given point in a rectangular coordinate system. $$ (4,-1) $$

Solve each equation in Exercises \(1-14\) by factoring. $$4 x^{2}-13 x=-3$$

Express interval in set-builder notation and graph the interval on a number line. \((3, \infty)\)

Add or subtract as indicated and write the result in standard form. $$ 15 i-(12-11 i) $$

\(70 \%\) of what number is \(252 ?\)

Plot the given point in a rectangular coordinate system. $$ (3,-2) $$

Solve each equation in Exercises \(1-14\) by factoring. $$3 x^{2}+12 x=0$$

Express interval in set-builder notation and graph the interval on a number line. \([-3, \infty)\)