Extra Math Practice #191-195

If $ab=19$ and $a-b=7$ , what is the value of $a^2+b^2$ ?

The table above shows some values of the polynomial function $f$ . Which of the following is a factor of $f(x+3)$ ?

A) $x$

B) $x-1$

C) $x-2$

D) $x+3$

The expression $4(x-5)(x+6)+m$ , where $m$ is a constant, can be rewritten as a binomial square in the form of $(ax+b)^2$ where $a$ and $b$ are integer constants. What is the value of $m$ ?

$\begin{align*}x^3+bx^2+cx+90=0\end{align*}$

The equation above has three unique roots at $-5$ , $3$ , and $k$ . If $b$ , $c$ , and $k$ are constants, what is the value of $k$ ?

A) $-9$

B) $-6$

C) $4$

D) $6$

5 The scoring in a certain game is based on the number of red tokens and blue tokens a player has. One player has red and blue tokens in a ratio of 7:10. Then she wins 10 more red tokens, changing her ratio of red to blue tokens to 4:5. How many total tokens does she have after winning the 10 red tokens?

Section progress

Navigation