4.3 – Solve x2 + bx + c = 0 by Factoring
A monomial is an expression that is either a
number, a variable, or the product of a number
and one or more variables.
A binomial, such as x + 4, is the sum of two
monomials.
A trinomial, such as x2 + 11x + 28, is the sum
of three monomials.
A polynomial is a monomial or a sum of
monomials, each of which is called a term of
the polynomial.
4.3 – Solve x2 + bx + c = 0 by Factoring
Factor the expression.
a. x2 – 9x + 20
b. x2 + 3x - 12
4.3 – Solve x2 + bx + c = 0 by Factoring
Factor the expression.
c. x2 – 3x – 18
d. x2 - 3x + 9
4.3 – Solve x2 + bx + c = 0 by Factoring
Factor the expression.
e. r2 + 2r – 63
f. x2 + 14x + 48
4.3 – Solve x2 + bx + c = 0 by Factoring
4.3 – Solve x2 + bx + c = 0 by Factoring
Example 2: Factor with special patterns
a. x2 – 49
b. d2 + 12d + 36
4.3 – Solve x2 + bx + c = 0 by Factoring
Example 2: Factor with special patterns
c. q2 – 100
d. y2 + 16y + 64
4.3 – Solve x2 + bx + c = 0 by Factoring
Example 2: Factor with special patterns
e. x2 – 81
d. w2 – 18w + 81
4.3 – Solve x2 + bx + c = 0 by Factoring
Example 3: Find the zeros (solve) of the
function by rewriting the function in
intercept form
a. y = x2 –x – 12
b. y = x2 + 12x + 36
4.3 – Solve x2 + bx + c = 0 by Factoring
Example 3: Find the zeros (solve) of the
function by rewriting the function in
intercept form
c. y = x2 + 5x – 14
d.
y = x2 – 7x - 30